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ALGEBRA
ALGEBRA I
EXPONENTS AND RADICALS
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Exponents and radicals Answers
Exponents and radicals
asked 2021-03-11
in number 7, Is the exponent of (-1) n right? I thought that the exponent of (-1) is n-1 because it changed from n=0 to n=1, and if
\((-1)^{n}\)
, there will be a change of sign between negative sign and positive sign.
Exponents and radicals
asked 2021-03-09
Simplify:
\(\displaystyle{\left({7}^{{5}}\right)}{\left({4}^{{5}}\right)}\)
. Write your answer using an exponent.
Explain in words how to simplify:
\(\displaystyle{\left({153}^{{2}}\right)}^{{7}}.\)
Is the statement
\(\displaystyle{\left({10}^{{5}}\right)}{\left({4}^{{5}}\right)}={14}^{{5}}\)
true?
Exponents and radicals
asked 2021-03-04
Simplify each of the following expressions. Be sure that your answer has no negative or fractional exponents.
\(a*(1/81)^(-1/4)b*x^(-2)y^(-4)c*(2x)^(-2)(16x^2y)^(1/2)\)
Exponents and radicals
asked 2021-03-02
Write the number in scientific notation: 0.000000001
Exponents and radicals
asked 2021-02-24
Deduce from the Completeness Axiom that there exists a square root of a real number a if and only if a ≥ 0
Exponents and radicals
asked 2021-02-13
Express the fraction
\(\displaystyle\frac{{1}}{{6}^{{4}}}\)
using negative exponent.
Exponents and radicals
asked 2021-02-09
\(\displaystyle{S}{a}{x}{\cos{{3}}}{x}{\left.{d}{x}\right.}\)
Exponents and radicals
asked 2021-02-02
\(\displaystyle{100}={10}^{{x}}\)
Exponents and radicals
asked 2021-01-31
Radical and Exponents Simplify the expression
\(\frac{(ab^2 c^-3}{2a^3 b^-4)}^{-2}\)
Exponents and radicals
asked 2021-01-22
Write each radical expression using exponents and each exponential expression using radicals. Radical expression Exponential expression
\(\sqrt[3]{y^{4}}\)
Exponents and radicals
asked 2021-01-17
Rewrite the following expressions without using radicals or negative exponents. Simplify when possible.
\(\displaystyle{\sqrt[{{5}}]{{{x}^{{20}}{y}^{{-{{4}}}}}}}\)
Exponents and radicals
asked 2021-01-08
The central processing unit (CPU) power in computers has increased significantly over the years. The CPU power in Macintosh computers has grown exponentially from 8 MHz in 1984 to 3400 MHz in 2013 (Source: Apple. The exponential function
\(\displaystyle\${M}{\left({t}\right)}={7.91477}{\left({1.26698}\right)}^{{t}}{\left[{m}{a}{t}{h}\right]}\)
, where t is the number of years after 1984, an be used to estimate the CPU power in a Macintosh computer in a given year. Find the CPU power of a Macintosh Performa 5320CD in 1995 and of an iMac G6 in 2009. Round to the nearest one MHz.
Exponents and radicals
asked 2021-01-08
Simplify sqrt-54 using the imaginary number i
A)
\(\displaystyle{3}{i}\sqrt{{6}}\)
B)
\(\displaystyle-{3}\sqrt{{6}}\)
C)
\(\displaystyle{i}\sqrt{{54}}\)
D)
\(\displaystyle{3}\sqrt{-}{6}\)
Exponents and radicals
asked 2021-01-08
\(\displaystyle{11}\cdot\sqrt{{48}}\)
Exponents and radicals
asked 2021-01-07
solve the equation
\(\displaystyle{4}{x}^{{3}}={324}\)
Exponents and radicals
asked 2021-01-02
prove that
\(1+tanhx /1-tanhx = e^2x\)
Exponents and radicals
asked 2020-12-25
Simplify the following. Write answers without negative exponnents.
\(\displaystyle{\left({4}{x}^{{2}}{y}^{{-{{3}}}}\right)}^{{-{{2}}}}\)
Exponents and radicals
asked 2020-12-16
\(\displaystyle{2}⋅{5}^{{x}}+{3}={6250}\)
Exponents and radicals
asked 2020-12-03
Evaluate the limit.
\(\lim_{x \rightarrow \infty} \frac{7(x^{9}-4x^{5}+2x-13}{-3x^{9}+x^{8}-5x^{2}+2x} \)
Exponents and radicals
asked 2020-12-02
Write each of the numbers 1, 8, 27, 64, and 125 as a base raised to the third power.
\(\displaystyle{1}=⎕^{{3}}\)
\(\displaystyle{8}=⎕^{{3}}\)
\(\displaystyle{27}=⎕^{{3}}\)
\(\displaystyle{64}=⎕^{{3}}\)
\(\displaystyle{125}=⎕^{{3}}\)
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