Question

Which expression is equivalent to the expression shown?

Which expression is equivalent to the expression shown?

Answer 1

`4^5`Answer:
`10^4 * 4^5`

Explanation:

When dividing two numbers of the same base with exponents, you subtract the exponent of the numerator by the exponent in the denominator. In this example, you would take
`4^(10)` and
`4^5` and subtract the two exponents, 10 and 5 to result in
`4^5`.

Answer 2

The Equivalent Expressions to
`10^4 * 4^(10)/4^5.`is
`10^4 * 4^5`, which is found by subtracting the exponents when dividing powers with the same base.

The expression given is
`10^4 * 4^(10)/4^5.`

To find the equivalent expression, use the properties of exponents. When dividing powers with the same base, subtract the exponents:
`4^(10 )/ 4^5 = 4^((10 - 5)) = 4^5.`

The expression thus simplifies to
`10^4 * 4^5`.

Therefore, the equivalent expression is option B:
`10^4 * 4^5.`

The probable question may be:

Which expression is equivalent to the expression shown?

`10^4 * 4^10/4^5\\A. 4^9\\B. 10^4 * 4^5\\C. 10^4 * 4^15\\D. 40^9`