Question

Evaluate the power.

${10}^4$

Short answer

The value of ${10}^4$after evaluating the power is 10000.

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 104 

Evaluate the expression ${10}^4$

According to the exponent rule:

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

a = 10 and x = 4

In repeated multiplication:${10}^4 = 10 · 10 · 10 · 10$

Evaluate the expression ${10}^4 = 10 · 10 · 10 · 10 = 10000$

The value of ${10}^4$after evaluating the power is 10000.