Quotient Rule of Exponents Practice

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Simplify 13^12÷13^−10 (1 point)

1 answer

To simplify the expression 13^12 ÷ 13^(-10), we can use the quotient rule of exponents. According to the rule, when dividing two numbers with the same base, you subtract the exponents.

In this case, the base is 13, so we subtract the exponents:

13^12 ÷ 13^(-10) = 13^(12 - (-10))

Simplifying the exponent inside the parentheses, we get:

13^(12 + 10)

Adding the exponents results in:

13^22

Therefore, the simplified expression is 13^22.