Question

Write the product using an exponent.

$11·11·11·11$

Short answer

The exponent form of the product is ${11}^4$.

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.

Write the product 5 · 5 · 5 · 5 in exponent. 

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

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

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

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

Write the exponent form of the given product

In the given product, observe that 11 is multiplied to itself 4 times.

So, the exponent form of the given product is ${11}^4$.