Question

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

Answer 1

F and C should be the answers

Answer 2

Answer:

$5^{4+x}$

$625\cdot5^x$

Step-by-step 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.