Question

Use the Multiplication Law of Exponents to explain why 5^3*5^-3 = 1
(URGENT PLEASE)

Answer 1

The multiplication law states that

• a^m×a^n=a^m+n

So

• 5³×5-³=1
• 5^(3-3)=1
• 5⁰=1
• 1=1

Answer 2

1 = 1

Explanation:

• 5^3*5^-3 = 1

We all know the law of exponents,the one we'll use to solve this is the multiplication law:

• x^y * x^z = x^y+z
• If the bases are equal or two numbers then the powers are equal too.

Solved:

• 
  `5^3 \: * \: 5^(-3) = 1`
• 
  `5 {}^(3 + ( - 3)) = 1`
• 
  `5 ^(0) = 1`

x^0 = 1

• 
  `1 = 1 \: ( \rm \: Proved)`

Alternate method:

• 5^3*5^-3 = 1
• 5^3*1/5^3 = 1

5^3 and 5^3 cancels, which results to

• 1 = 1