Question

Which expression is equivalent to(r^-7)^6?

Answer 1

Answer:

$\frac{1}{r^{42}}$ is equivalent to $(r^{-7})^6$

Step-by-step explanation:

Using the exponent rule:

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

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

Given the radical expression:

$(r^{-7})^6$

Apply the rule we have;

$r^{-7 \cdot 6}$

Simplify:

$r^{-42}$

Again, apply the rule:

$\frac{1}{r^{42}}$

Therefore, the expression is equivalent to $(r^{-7})^6$

$\frac{1}{r^{42}}$.

Answer 2

(r^-7)^6 = r^-42 . . . . exponents are multiplied