Question

Which expression is equivalent to 3⁴ . 3-⁹

a. 1/3¹³

b. 1/3⁵

c. 3⁵

d. 3¹³​

Answer 1

b. 1/3⁵

Explanation:

When multiplied with same base, powers add up

3⁴ × (3^-9) = 3^(4-9)

= 3^(-5)

To make the power positive, take it in the denominator

= 1/3⁵

Answer 2

3^-5 or 1/3^5(b)

Explanation:

3⁴•3^-9

When bases are same powers are to be added

So the above expression becomes

3^4+(-9)

3^4-9

3^-5