Fully simplify

Question

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

Answer 1

To fully simplify (-2x^2y^5)^3, we apply the power rule of exponents:

(-2x^2y^5)^3 = -2^3(x^2)^3(y^5)^3

Simplifying further, we have:

= -8x^6y^15

Answer 2

Select the equivalent expression

x^8y^2/x^8y^5

Answer 3

The equivalent expression for x^8y^2 / x^8y^5 is 1/y^3.

Answer 4

Select the equivalent expression

x^3 x x^4/x^-2

Answer 5

The equivalent expression for x^3 * x * x^4 / x^-2 is x^9.

Answer 6

Fully simplify only using positive exponents

3x^3y^6/6xy^3

Answer 7

To fully simplify 3x^3y^6 / 6xy^3, we can simplify the coefficients and combine like terms in the exponents:

First, let's simplify the coefficient:
3 / 6 = 1/2

Now, let's simplify the x terms:
x^3 / x = x^(3-1) = x^2

Finally, let's simplify the y terms:
y^6 / y^3 = y^(6-3) = y^3

Putting it all together, we have:

(1/2) * x^2 * y^3

So, the simplified expression is (1/2)x^2y^3.

Answer 8

Wrong

Answer 9

Apologies for the mistake.

To fully simplify 3x^3y^6 / 6xy^3, let's simplify the coefficients and combine like terms in the exponents:

First, let's simplify the coefficient:
3 / 6 = 1/2

Now, let's simplify the x terms:
x^3 / x = x^(3-1) = x^2

Finally, let's simplify the y terms:
y^6 / y^3 = y^(6-3) = y^3

Putting it all together, we have:

(1/2) * x^2 * y^3

So, the simplified expression is (1/2)x^2y^3.