Respuesta :

Answer:

8

Step-by-step explanation:

Using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]16^{\frac{3}{4} }[/tex]

= [tex]\sqrt[4]{16^{3} }[/tex]

= 2³

= 8

8 is equivalent to 16 ^3/4.

What is the Rule for Exponents?

The power Rule for Exponents: (am)n = am*n. To raise various with an exponent to a strength, multiply the exponent instances by the power. Bad Exponent Rule: x–n = 1/xn. Invert the base to trade a negative exponent into a nice.

What are the 3 laws of exponents?

  • Rule 1: To multiply identical bases, add the exponents.
  • Rule 2: To divide identical bases, subtract the exponents.
  • Rule 3: When there are two or more exponents and only one base, multiply the exponents.

Learn more about exponents here https://brainly.com/question/11975096

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