which expression is equivalent to (3^2)^-2

a.-81
b.-12
c.1/81
d.1/12

Question

contestada

Respuesta :

carlosego carlosego · Answer 1 · 2019-02-04T18:36:06+01:00

Answer: c.1/81

Step-by-step explanation:

1. The negative exponent indicates that (3²)² is actually in the denominator, thererfore,, you can rewrite the expression as it is shown below:

[tex]\frac{1}{3^{2}}^{2}[/tex]

2.By the properties of exponents you raise a powers of powers, you must multiply the exponents shown, then:

[tex]\frac{1}{3^{4}}[/tex]

3. Then. you obtain that the equivalent expression is:

[tex]\frac{1}{81}[/tex]

SaniShahbaz SaniShahbaz · Answer 2 · 2019-02-04T18:37:24+01:00

Answer:

Option c is correct [tex]\frac{1}{81}[/tex]

Step-by-step explanation:

We are given an expression and we find its equivalent by solving it

[tex](3^{2})^{-2}[/tex]

first solve 3^{2}which is equal to 3 * 3 = 9

[tex]9^{-2}\\\\\frac{1}{9^{2}}\\\\\frac{1}{81}[/tex]

Answer Link