(A)
simplify 3x^-2
(B)
simplify 5x^2y(2x^4y^-3)

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(A)

3x^-2

Apply exponent rule:

3*1/x^2

Multiply fractions:

1*3/x^2

Multiply the numbers:

1*3= 3

3/x^2

Your Answer Is

(B)

5x^2y(2x^4 y^-3)

Apply exponent rule:

5y*2x^2+4 y^-3

Add the numbers:

2+4= 6

5y*2x^6 y^-3

Apply exponent rule:

5*2x^6 y^1-3

Subtract the numbers:

1-3= -2

5*2x^6 y^-2

Apply exponent rule:

5*2* 1/y^2 x^6

Multiply fractions:

1*5*2x^6/y^2

Multiply the numbers:

1*5*2= 10

10x^6/y^2

Your Answer Is

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A.

B.

Step-by-step explanation:

A.

Our expression is: , where we have a negative exponent.

Remember that negative exponents are the same as taking the reciprocal of the number and taking that to the positive exponent.

Here, we have , so its reciprocal is just 1/x. Now, we take the positive square of the reciprocal: . Put the 3 in and our final answer is: .

B.

Our expression is: . Basically, we're multiplying these together.

Remember that when multiplying numbers with the same base, we always add the exponents. Here, we have:

The two x terms will combine to become , and the two y terms will combine to become .

The final answer is: .