Rewrite $7 \times 7 \times 7$ using an exponent.
Answer (2)
Identify the base as 7.
Count the number of times 7 is multiplied by itself, which is 3.
Write the expression in exponential form as 7 3 .
The expression 7 × 7 × 7 rewritten using an exponent is 7 3 .
Explanation
Understanding the problem We are asked to rewrite the expression 7 × 7 × 7 using an exponent.
Identifying base and exponent In the expression 7 × 7 × 7 , the number 7 is multiplied by itself three times. In exponential notation, we write this as 7 3 , where 7 is the base and 3 is the exponent.
Writing in exponential form Therefore, 7 × 7 × 7 = 7 3 .
Examples
Exponents are a shorthand way of writing repeated multiplication. For example, if you wanted to calculate the volume of a cube with side length 7, you would multiply the side length by itself three times: 7 × 7 × 7 . Using exponents, you can simply write this as 7 3 , which is much more concise. This is useful in many areas of math and science, such as calculating areas, volumes, and growth rates.
The expression 7 × 7 × 7 can be rewritten in exponential form as 7 3 , with 7 as the base and 3 as the exponent. This indicates that the number 7 is multiplied by itself three times.
;
