Simplify 4^-2 × 4^-4: Negative Exponents Multiplication

Question

Simplify the following equation:

42×44= 4^{-2}\times4^{-4}=

Video Solution

Solution Steps

00:00 Simply
00:03 According to the laws of exponents, multiplication of powers with equal base (A)
00:06 equals the same base raised to the sum of the exponents (N+M)
00:09 We will use this formula in our exercise
00:13 Note that we are adding negative numbers
00:17 Positive times negative is always negative, therefore we subtract
00:23 And this is the solution to the question

Answer

424 4^{-2-4}