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Choose an equivalent expression for three fourths raised to the fourth power times three fourths raised to the third power all raised to the second power.

nine sixteenths raised to the twenty fourth power
nine sixteenths raised to the fourteenth power
three fourths raised to the twenty fourth power
three fourths raised to the fourteenth power

Respuesta :

tylanlofties

The equivalent expression is two fifths raised to the fourteenth power. Option A

How to determine the expressions

From the information given, we have;

two fifths raised to the fourth power times two fifths raised to the third power all raised to the second power

This could be written as;

Solve the index forms using multiplicative addition

(2/ 5)^14

This means two fifths raised to the fourteenth power

Thus, the equivalent expression is two fifths raised to the fourteenth power. Option A

The correct statement is three fourths raised to the fourteenth power.

What are the 10 rules of exponents?

The important laws of exponents are given below:

  • am×an = a. m+n
  • am/an = a. m-n
  • (am)n = a. mn
  • an/bn = (a/b) n
  • a0 = 1.
  • a-m = 1/a. m
  • a 1 n = a n.

Given:

(((3/4)^4 * (3/4)^3)^2

Now,

((3/4)^ ( 4+3))^2

=((3/4)^7)^2

=(3/4) ^(7*2)

=(3/4)^14

Hence,

Learn more about exponent rules here:

https://brainly.com/question/28324398

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