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3 years ago

My mom needs help it's negative exponets it's 5x^-3y^4)^-3 Please explain step by step my mom has the chest sheet

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

x^9

----------------

125 y^12

Step-by-step explanation:

(5x^-3 y^4)^-3

We know that (ab)^c can be split into a^ * b^c

5^-3 *x^-3 ^-3* y^4 ^-3

We also know that a^b^c = a^ (b*c)

5^-3 *x^(-3 *-3) * y^(4 *-3)

5^-3 *x^(9) * y^(-12)

We know that negative exponents in the numerator move it to the denominator. The exponent stays the same except for the negative.

1/5^3 * x^9 * 1/ y^12

We know that 5^3 = 125

Rearranging the order

x^9

----------------

125 y^12

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2 years ago

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frozen [14]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.

For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.

Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.

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Now multiply both numerator and denominator by 2 to get our portion.

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