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egoroff_w [7]
3 years ago
10

Express (16^3)^1/2 in simplest radical form.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

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PLEASE HELP ME!! 30 points for right answer!
Reptile [31]

Answer:

Given the system of equation:

g +h = 9                        ......[1]

8g + 7.5h = 71               ......[2]

We can write equation [1] as;

g = 9-h        ......[3]

Now, substitute equation [3] in [2] we get;

8(9-h) + 7.5h = 71

Using distributive property i,e a \cdot (b+c) = a\cdot b +a\cdot c.

72 - 8h +7.5h = 71

Combine like terms:

72 - 0.5 h = 71

Subtract 72 to both sides of an equation:

72 - 0.5 h -72 = 71-72

Simplify:

- 0.5 h = -1

Divide both sides by -0.5 we get;

\frac{-0.5h}{-0.5} = \frac{-1}{-0.5}

Simplify:

h = 2

Substitute the value of h =2 in equation [3] to solve for g;

g = 9 - 2 = 7

g = 7

Therefore, the solution for the given equation is :

g = 7 and h = 2

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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