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

Question

Simplify the following equation:

$4^5\times4\times4^2=$

00:00 Simplify the following problem

00:03 Any number raised to the power of 1 is always equal to itself

00:06 We'll apply this formula to our exercise, and raise it to the power of 1

00:12 According to the laws of exponents, the multiplication of powers with an equal base (A)

00:17 equals the same base raised to the sum of the exponents (N+M)

00:24 We'll apply this formula to our exercise

00:28 We'll maintain the base and proceed to add up the exponents

00:34 This is the solution

$4^{5+1+2}$