Question

5^3*5^x which expressions are equivalent to the one below? check all that apply. 5^3 * 5^x

A). 5^3x B). 125*5^x C). 25^3x D). 5^3+x E). (5*x)^3 F). 5^3-x

Answer 1

The expression 5^3 * 5^x can be simplified to 5^(3+x), making options A) and D) equivalent.

Step-by-step explanation:

The expression 5^3 * 5^x can be simplified using the property of exponents that states when multiplying two powers with the same base, you add their exponents. In this case, since the base is 5 and the exponents are 3 and x, the simplified expression becomes 5^(3+x). Therefore, option A) 5^3x is equivalent to the original expression.

Another way to think about it is that 5^3x is equal to (5^3)^x, which is the same as 5^(3x). Again, this is equivalent to the original expression.

Therefore, options A) and D) are equivalent to the original expression.