Multiple Choices: Which expression has a value of 81?

a. 4³ b. 3⁴ c. 2⁸ d. 27³

${\text{a}}^{\text{x}}\to$a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsa^xthis means that a has been used as a factor x times.

Example: Write the product $5 · 5 · 5 · 5$in exponent.

Rule: ${\text{a}}^{\text{x}}\to$a is called base and x is exponent.

For:$5 · 5 · 5 · 5$:the base a = 5 and multiplied by 4 times.

In repeated multiplication: $5 · 5 · 5 · 5$in exponent form $5^4$

Rule: ${\text{a}}^{\text{x}}\to$a is called base and x is exponent.

For:4³, here base is 4 and multiplied 3 times.

In repeated form and evaluate: $4^3 = 4 · 4 · 4 = 64$

For:3⁴, here base is 3 and multiplied 4 times.

In repeated form and evaluate: $3^4 = 3 · 3 · 3 · 3 = 81$

For:2⁸, here base is 2 and multiplied 8 times.

In repeated form and evaluate:$2^8 = 2 · 2 · 2 · 2 · 2 · 2 · 2 · 2 = 256$

For:27³, here base is 27 and multiplied 3 times.

In repeated form and evaluate:${27}^3 = 27 · 27 · 27 = 19683$

$4^3 = 64; 3^4 = 81; 2^8 = 256; {27}^3 = 19683$

Option b is correct.$3^4 = 81$