 Recent questions in Exponents and radicals nitraiddQ 2021-09-20 Answered

### Use the laws of exponents to simplify the expressions $$\displaystyle{\frac{{{4}^{{{4.2}}}}}{{{4}^{{{3.7}}}}}}$$ ka1leE 2021-09-20 Answered

### Use the properties of logarithms to expand the following expression. $$\displaystyle{\log{{\left({\frac{{{4}{\left({x}+{6}\right)}^{{5}}}}{{\sqrt{{{x}^{{3}}}}}}}\right)}}}$$ Chardonnay Felix 2021-09-20 Answered

### Use the properties of logarithms to expand the following expression. $$\displaystyle{\log{\sqrt{{{\frac{{{x}{y}^{{7}}}}{{{z}^{{3}}}}}}}}}$$ ossidianaZ 2021-09-20 Answered

### Determine whether the statement makes sense or does not make sense, and explain your reasoning : "I expanded $$\displaystyle{{\log}_{{4}}\sqrt{{{\frac{{{x}}}{{{y}}}}}}}$$ by writing the radical using a rational exponent and then applying the quotient rule, obtaining $$\displaystyle{\frac{{{1}}}{{{2}}}}{{\log}_{{4}}{x}}-{{\log}_{{4}}{y}}$$ DofotheroU 2021-09-19 Answered

### Find the rectangular coordinates of the pair of points $$\displaystyle{\left({2},{2}\frac{\pi}{{3}}\right)}$$ and $$\displaystyle{\left({4},\frac{\pi}{{6}}\right)}$$. Then find the distance, in simplified radical form, between the points. facas9 2021-09-19 Answered

### Solve the exponential equation 1$$\displaystyle{25}^{{x}}={625}$$ by expressing each side as a power of the same base and then equating exponents. Jerold 2021-09-19 Answered

### Find the distance between $$\displaystyle{\left(-\frac{1}{{4}},-\frac{1}{{7}}\right)}$$ and $$\displaystyle{\left(\frac{3}{{4}},\frac{6}{{7}}\right)}$$ pair of points. If necessary, express answers in simplified radical form and then round to two decimals places. ossidianaZ 2021-09-19 Answered

### Evaluate the expression. $$\displaystyle\sqrt{{{2}}}\sqrt{{{50}}}$$ Rui Baldwin 2021-09-19 Answered

### Express each radical expression in simplest radical form. $$\displaystyle\sqrt{{{\frac{{{75}}}{{{81}}}}}}$$ glamrockqueen7 2021-09-19 Answered

### Perform the indicated operation and express all answers with a rational denominator $$2a^2b\sqrt{4a^3b}\cdot-6ab^2\sqrt{18ab^4}$$ chillywilly12a 2021-09-18 Answered

### Given the complex number $$\displaystyle{z}_{{1}}={12}{\left({\cos{{\frac{{{13}\pi}}{{{8}}}}}}+{i}{\sin{{\frac{{{13}\pi}}{{{8}}}}}}\right)}$$ and $$\displaystyle{z}_{{2}}={2}{\left({\cos{{\frac{{{11}\pi}}{{{8}}}}}}+{i}{\sin{{\frac{{{11}\pi}}{{{8}}}}}}\right)}$$, express the result of $$\displaystyle{\frac{{{z}_{{1}}}}{{{z}_{{2}}}}}$$ in rectangular form with fully simplified fractions and radicals. avissidep 2021-09-18 Answered

### Find the distance between the pair of points (4, -1) and (-6, 3) . If necessary, express answers in simplified radical form and then round to two decimals places. Lipossig 2021-09-18 Answered

### Determine the value of the variable for which the expression is defined as real number. $$\displaystyle{\left({\frac{{{1}}}{{{x}^{{2}}-{2}{x}-{63}}}}\right)}^{{\frac{{1}}{{2}}}}$$ Braxton Pugh 2021-09-17 Answered

### Simplify and express the answer using positive exponents: $$\displaystyle{\left({\frac{{{2}{x}^{{-{1}}}}}{{{3}{y}}}}\right)}^{{-{2}}}$$ Lipossig 2021-09-17 Answered

### Evaluate the radical expression, and express the result in the form $$a + bi.$$ $$\displaystyle{\frac{{\sqrt{{-{36}}}}}{{\sqrt{{-{2}}}\sqrt{{-{9}}}}}}$$ bobbie71G 2021-09-17 Answered

### Express each radical expression in simplest radical form. $$\displaystyle{4}\sqrt{{{52}{x}^{{3}}{y}^{{2}}}}$$ Harlen Pritchard 2021-09-17 Answered

### Find the derivative for the given function. Write your answer using positive and negative exponents and fractional exponents instead radicals. $$\displaystyle{h}{\left({x}\right)}={\left({\left({6}{x}^{{-{4}}}-{6}{x}+{9}\right)}{\left({7}{x}^{{2}}+{9}{x}+{8}\right)}\right)}^{{{\frac{{{1}}}{{{2}}}}}}$$ Caelan 2021-09-16 Answered

### Find the following products and express answers in simplest radical form. All variables represent nonnegative real numbers. $$\displaystyle{\left({3}\sqrt{{{2}}}-{5}\sqrt{{{3}}}\right)}{\left({6}\sqrt{{{2}}}-{7}\sqrt{{{3}}}\right)}$$ ringearV 2021-09-16 Answered

### Find the distance between the pair of points $$\displaystyle{\left({0},\sqrt{{{2}}}\right)}$$ and $$\displaystyle{\left(\sqrt{{{7}}},{0}\right)}$$. If necessary, express answers in simplified radical form and then round to two decimals places. Chaya Galloway 2021-09-16 Answered

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