Simplify the Expression: 4^5 × 4 × 4^2 Using Exponent Rules

Question

Simplify the following equation:

45×4×42= 4^5\times4\times4^2=

Video Solution

Solution Steps

00:00 Simply
00:03 Any number to the power of 1 is always equal to itself
00:06 We'll use this formula in our exercise, and raise to the power of 1
00:12 According to the laws of exponents, multiplication of powers with equal base (A)
00:17 equals the same base raised to the sum of the exponents (N+M)
00:24 We'll use this formula in our exercise
00:28 We'll keep the base and sum the exponents
00:34 And this is the solution to the question

Answer

45+1+2 4^{5+1+2}