Simplify 5^8 × 5^3: Multiplying Powers with Same Base

Question

Simplify the following equation:

58×53= 5^8\times5^3=

Video Solution

Solution Steps

00:00 Simply
00:03 According to exponent laws, multiplication of exponents with equal base (A)
00:07 equals the same base raised to the sum of exponents (N+M)
00:10 We will use this formula in our exercise
00:13 We will sum the exponents and raise to this power
00:16 And this is the solution to the question

Answer

58+3 5^{8+3}