Question

Given the algebraic expression 125x7^3) -1^3 create an equivalent expression.​

Answer 1

Answer:

third option

Step-by-step explanation:

using the rule of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{-m}$ = $\frac{1}{a^{m} }$

$a^{\frac{m}{n} }$ = $(\sqrt[n]{a})^m$

given

$(125x^{\frac{7}{3} }) ^{-\frac{1}{3} }$

= $125^{-\frac{1}{3} }$ × $x^{-\frac{7}{9} }$

= $\frac{1}{125^{\frac{1}{3} } }$ × $\frac{1}{x^{\frac{7}{9} } }$

= $\frac{1}{\sqrt[3]{125} }$ × $\frac{1}{x^{\frac{7}{9} } }$

= $\frac{1}{5}$ × $\frac{1}{x^{\frac{7}{9} } }$

= $\frac{1}{5x^{\frac{7}{9} } }$