Which expression is equivalent to 5y^3/(5y)^-2

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Answer:

5^3 y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2

Combine like terms

5 * 5^2 * y^3 5^2

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

5^(1+2) * y^( 3+2)

5^3 y^5

125 y^5

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Answer:

2x + 8 > -16

Step-by-step explanation:

Any time you see twice a number, it means 2x because 2x indicates you are multiplying whatever the variable is by two (also known as doubling it). Whenever you see more than, it indicates addition, so now you know to add eight to that answer. Finally, place the greater than symbol and put -16 on the other side.