Question

Evaluate the expression k⁴ when k=6.

Short answer

The value of $k^4$after evaluating the power is 1296when k = 6

Step-by-step solution

– Explanation of the exponent formula

${\text{a}}^{\text{x}}\to$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.

Find the base and exponent of 27 and evaluate

Example: Find the base and the exponent of 2⁷ and evaluate the value.

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

a = 2 and x = 7

Base = 2 and exponent = 7

Evaluate: $2^7=2 · 2 · 2 · 2 · 2 · 2 · 2 =128$

Evaluate the expression k4 when k = 6

Evaluate the expression $k^4$ when$k=6$.

According to the exponent rule:

${\text{a}}^{\text{x}}\to$a is called base and x is power.

a = k and x = 4

In repeated multiplication:$k^4=k · k · k · k$

When k = 6:$k^4=k · k · k · k=6 · 6 · 6 · 6 =1296$

The value of $k^4$after evaluating the power is 1296