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 Simply
00:03 According to power laws, multiplication of powers with equal base (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:12 We will use this formula in our exercise
00:15 Note that we are adding negative factors
00:33 Positive times negative is always negative, therefore we subtract
00:45 And this is the solution to the question

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