31.5k views
0 votes
Which statements are true regarding the expression 8^-1 * 8^-3 * 8?

a) It simplifies to 8^-4.
b) It simplifies to 8^-7.
c) It simplifies to 8^2.
d) It simplifies to 8^0.

User Barnabe
by
7.9k points

1 Answer

6 votes

Final answer:

The expression 8^-1 * 8^-3 * 8 simplifies to 8^-3.

Step-by-step explanation:

To simplify the expression 8^-1 * 8^-3 * 8, we need to use the laws of exponents. When multiplying powers with the same base, we add the exponents.

Therefore, 8^-1 * 8^-3 * 8 can be rewritten as 8^(-1-3) * 8. Simplifying the exponent, we have 8^-4 * 8. Multiplying powers with the same base, we add the exponents, so 8^-4 * 8 can be written as 8^(-4+1), which simplifies to 8^-3. Therefore, none of the statements a), b), c), or d) are true. The expression simplifies to 8^-3.

User James Khan
by
7.7k points