Question

The value of 2^-3x3^-2

Answer 1

Answer:

1/72.

Step-by-step explanation:

2^-3 = 1 / 2^3 = 1/8.

3^-2 = 1/3^2 = 1/9

So the answer is 1/8 * 1/9

= 1/72.

Answer 2

Answer:

$\frac{1}{72}$

Step-by-step explanation:

Using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$ thus

$2^{-3}$ = $\frac{1}{2^{3} }$ = $\frac{1}{8}$

$3^{-2}$ = $\frac{1}{3^{2} }$ = $\frac{1}{9}$

Then

$\frac{1}{8}$ × $\frac{1}{9}$ = $\frac{1}{72}$