Question

Which expression are equivalent to the one below? Check all that apply. 5^4*5^x Answer choices: A) 25^4x

B) 5^4x
C)5^4+x
D)(5•x)^4
E)5^4-x
F)625•5^x

Answer 1

F and C should be the answers

Answer 2

`5^(4+x)`

`625\cdot5^x`

Explanation:

The given expression is
`5^4\cdot5^x`

We can use product rule of exponent to simplify this expression.

Product rule of exponent: If we multiply two exponents having same bases then we add the exponents keeping the base same.

Mathematically, we have

`x^m\cdot x^n=x^(m+n)`

Applying this rule, we get

`5^4\cdot5^x=5^(4+x)`

5^4 can be written as 625. Hence, the expression becomes

`5^4\cdot5^x=625\cdot5^x`

Thus, C and F are correct options.