Respuesta :

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
Itz5151

Answer:

1 = 1

Step-by-step 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:

  • [tex]5^3 \: * \: 5^{-3} = 1[/tex]
  • [tex]5 {}^{3 + ( - 3)} = 1[/tex]
  • [tex]5 ^{0} = 1[/tex]

x^0 = 1

  • [tex]1 = 1 \: ( \rm \: Proved)[/tex]

Alternate method:

  • 5^3*5^-3 = 1
  • 5^3*1/5^3 = 1

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

  • 1 = 1

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