Question

Write an equivalent expression using exponents. 5⋅x×xx=5x^4 7y⋅7y⋅7y= rr⋅2t⋅2t⋅2t=

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ANSWERED
asked 2020-11-26
Write an equivalent expression using exponents.
\(\displaystyle{5}⋅{x}×\times={5}{x}^{{4}}\)
\(\displaystyle{7}{y}⋅{7}{y}⋅{7}{y}=\)
\(\displaystyle{r}{r}⋅{2}{t}⋅{2}{t}⋅{2}{t}=\)

Answers (1)

2020-11-27
first \(\displaystyle{X}{X}{X}{X}={\left({X}\right)}^{{4}}\)
thus
\(\displaystyle{5}{X}{X}{X}{X}={5}{\left({X}\right)}^{{4}}\)
second \(\displaystyle{7}{Y}\cdot{7}{Y}\cdot{7}{Y}={\left({7}{Y}\right)}^{{3}}\)
third \(\displaystyle{r}{r}={\left({r}\right)}^{{2}}\)
\(\displaystyle{2}{t}\cdot{2}{t}\cdot{2}{t}={\left({2}{t}\right)}^{{3}}\)
thus
\(\displaystyle{r}{r}\cdot{2}{t}\cdot{2}{t}\cdot{2}{t}={\left({r}\right)}^{{2}}\cdot{\left({2}{t}\right)}^{{3}}\)
answer
\(\displaystyle{5}{\left({X}\right)}^{{4}}.\)
\(\displaystyle{\left({7}{Y}\right)}^{{3}}.\)
\(\displaystyle{\left({r}\right)}^{{2}}\cdot{\left({2}{t}\right)}^{{3}}.\)
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