what is the value of the expression below? (64^3)^1/6

Answers

Answer 1

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer 2

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)


Related Questions

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

D. 50.24

Step-by-step explanation:

The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D.  :) hope this helps  

How many 3/4 cup servings are in 1/2 cup of yougurt? Simplest fraction form

Answers

Answer:

2/3 serving

Step-by-step explanation:

(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving

Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help? ​

Answers

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)

Answers

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

(x+2) (x-3) (x+4)

Find the value of x. help please if you understand

Answers

Sin(x) =9/25
Sin(x)=0.36
Sin^-1 (0.36)= 21.10
x=21.10

(MATH) (6) ((PHOTO))
label is m​

Answers

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY

Answers

500 people were surveyed.Just add all the numbers...
500 people were surveyed

What is sec 0 when cot 0 = -4/2?

Answers

Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

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hope it helps...

have a great day!!

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