Question

Simplify (5^3 * 5^5) to another power of 5.

Options:
A. 5 to the 40th power
B. 5 to the 20th power
C. 5 to the 75th power
D. 5 to the 13th power

Answer 1

The expression (5^3 * 5^5) simplifies to 5^8 by adding the exponents. The given options are incorrect as none of them match the correct answer of 5 to the 8th power.

Step-by-step explanation:

The question involves simplifying an expression with two exponential terms with the same base, which is a common operation in mathematics. When you multiply powers with the same base, you simply add the exponents. Using this rule:

(5^3) * (5^5) = 5^(3+5) = 5^8

Therefore, we have simplified the original expression to 5 and raised it to the eighth power, which is not one of the options provided. It seems there may be a mistake in the choices given as none of the options matches the correct answer.