Question

Solve the following expressions and leave your answer in base-exponent form:

A) 5^2 = ?
B) 4^3 x 4^5 = ?
C) 5^8 ÷ 5^(-2) = ?

Answer 1

Mathematics question about exponentiation solved: 5^2 equals 25, 4^3 x 4^5 equals 4^8, and 5^8 ÷ 5^(-2) equals 5^10, using rules of adding exponents when multiplying and subtracting when dividing with the same base.

Step-by-step explanation:

The subject of this question is Mathematics, specifically exponentiation, which is a part of basic arithmetic in mathematics dealt with from Middle School.

• A) 52 is equal to 5 x 5, which is 25.
• B) 43 x 45 combines the exponents of the same base (4) by adding the exponents, yielding 48, which is 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4.
• C) 58 ÷ 5-2 subtracts the exponent in the denominator from the exponent in the numerator, giving us 510.

To clarify the process involved, when multiplying numbers with the same base, such as 43 and 45, you add the exponents (3 + 5 = 8) to get 48. Similarly, when dividing numbers with the same base like 58 and 5-2, you subtract the exponents (8 - (-2) = 10), which gives 510.