Simplify the Expression: 9^-3 × 9^-5 × 9^-2 Using Exponent Laws

Question

Reduce the following equation:

9−3×9−5×9−2= 9^{-3}\times9^{-5}\times9^{-2}=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 According to the power laws, the multiplication of powers with equal bases (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:12 We will apply this formula to our exercise
00:15 Note that we are adding together negative factors
00:33 A positive x A negative is always negative, therefore we subtract as follows
00:45 This is the solution

Answer

9−10 9^{-10}

More Questions

Related Subjects

Multiplying Exponents with the Same Base

Question Types

Multiplication of Powers: Calculating powers with negative exponents Multiplication of Powers: Applying the formula