Question

How are the expressions 3⁴ and 4³different?

3⁴ and 4³ are different

Short answer

The expressions3⁴and4³are different because they have differentbasesand exponents.

Step-by-step solution

–Explanation of the exponent formula

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

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

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

Find the base and exponent of 34

Find the base and the exponent of 3⁴

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

a = 3 and x = 4

Base = 3 and exponent = 4

The expressions3⁴this means that 3 have been used as a factor 4 times

Find the base and exponent in the expression 43

Find the base and the exponent in the expression 4³

According to the exponent rule:

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

a = 4 and x = 3

Base = 4 and exponent = 3

The expressions4³this means that 4 have been used as a factor 3 times

Explanation how 34 and 43 are different from each other

The base and the exponent of 3⁴: Base = 3 and exponent = 4

The base and the exponent of 4³: Base = 4 and exponent = 3

The expressions3⁴and4³are different because they have different bases and exponents.