Exponents and Powers Test

Result

Exponents and Powers Test - 14

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

What is the multiplicative inverse of 9²⁵?

A
25⁹

B
25⁻⁹

C
9⁻²⁵

D
−9²⁵

Solution

For a non-zero integer a, the multiplicative inverse of a^m is a⁻^m where m is a positive integer.

Thus, the multiplicative inverse of 9²⁵ is 9⁻²⁵.

The correct answer is C.
Question 2
1 / -0

What is the product obtained when the multiplicative inverse of 3⁻⁵ is multiplied with the additive inverse of 2⁵?

A
6⁰

B
6²⁵

C
− 6⁵

D
− 5⁶

Solution

For any non-zero integer a, the multiplicative inverse of a⁻^m is a^m where m is a positive integer.

∴ Multiplicative inverse of 3⁻⁵ is 3⁵.

For any integer n, the additive inverse of n is −n.

∴ Additive inverse of 2⁵ is −2⁵.

∴ 3⁵ × (−2⁵) = − (3⁵× 2⁵)

= − (3 × 2)⁵[a^m × b^m = (a × b)^m]

= − 6⁵

The correct answer is C.