Question

the exponent expression 2⁸ has a value of 256.write two other exponential expressions that have the value of 256. explain how you got your answers

Answer 1

The other two expressions that have value of 256 is 4⁴ and 16².

Given the exponent expression 2⁸ has a value of 256.

We want to write two other exponential expressions that have value 256.

The given expression is 2⁸=256

The above expression can be written as

2×2×2×2×2×2×2×2=256

By using the Associative property of multiplication, we can write them as

(2×2)×(2×2)×(2×2)×(2×2)=256

4×4×4×4=256

4⁴=256

and it can also be written as by using the associative property of multiplication again and get

(2×2×2×2)×(2×2×2×2)=256

16×16=256

16²=256

Hence, the two other exponential expression of 256 other than 2⁸ is 4⁴ and 16².

Learn more about the exponential expression from here brainly.com/question/17003520

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