Question

Which is equivalent to 64 Superscript one-fourth? 2 RootIndex 4 StartRoot 4 EndRoot 4 16 16 RootIndex 4 StartRoot 4 EndRoot

Answer 1

64 ^(1/4) = 2√2

Step-by-step explanation:

Question is what is Equivalent to  $64^{\frac{1}{4}}$

64  =  2 * 2 * 2 * 2 * 2  *  2

64      =  2⁴ * 2²

= $( 2⁴ * 2²)^{\frac{1}{4}}$

=  $( 2⁴)^{\frac{1}{4}} \times (2²)^{\frac{1}{4}}$

=   2 √2

Learn More:

If 52272 = p²×q³×r⁴ where p, q and r are prime numbers, then the ...

https://brainly.in/question/11068669

What is the square root of 16 +6√7 is - Brainly.in

https://brainly.in/question/12320248

Answer 2

Answer:

2√2 is equivalent to the given expression.

Step-by-step explanation:

Given expression,

$64^\frac{1}{4}$

$(16\times 4)^\frac{1}{4}$

Using $(ab)^m=a^m.b^m$

$(2^4\times 2^\frac{1}{2})^\frac{1}{4}$

$(2^4)^\frac{1}{4} \times (2^\frac{1}{2})^\frac{1}{4}$

Using the power of power property of exponent i.e. $(a^m)^n = a^{mn}$,

$2^1\times 2^\frac{1}{2}$

$2\sqrt{2}$

Learn more :

(i) Properties of exponent :

https://brainly.in/question/4508690

(ii) Using properties of exponent solve the expression :

https://brainly.in/question/12417953