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3 years ago

Translate the expression with rational exponents. Simplify if necessary

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer: 27

Step-by-step explanation:

The expression given is inside a cube root. This is a simplified version of a fractional exponent, 1/3.

We can take the expression outside of the radical to get this:

3 ^ 9 ^ (1/3)

When an exponent is raised to another exponent, multiply the exponents and keep the base the same:

3 ^ (9 * 1/3)

3 ^ 3

The expression is equal to 27.

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Complete the statement If x/7 = 5/3, then x+7/7 =?

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Lets get started :)

$\frac{x}{7} = \frac{5}{3}$
We can cross multiply, to find the value of x
3x = 7 x 5
3x = 35
We have to divide by 3 on either sides to isolate x
$\frac{3x}{3} = \frac{35}{3}$
3 and 3 cancels out

x = $\frac{35}{3}$

Then, x + $\frac{7}{7}$ ( 7 divided by 7 is 1)
$\frac{35}{3}$ + 1 = $\frac{38}{3}$

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