Question

Divide 7y ^5 by 56y^3

Answer 1

Answer:

1/8y²

Step-by-step explanation:

7y⁵/56y³

Use the rules of exponents to simplify the expression.

(7y⁵)¹ x (1/56y³)

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

7¹(y⁵)¹ x (1/56)x(1/y³)

Use the Commutative Property of Multiplication.

7¹ x (1/56) x (y⁵)¹ x (1/y³)

To raise a power to another power, multiply the exponents.

7¹ x (1/56) y⁵y³^-1

Multiply 3 times −1

7¹ x (1/56) y⁵$y^{-3}$

Add the exponents 5 and −3.

7¹ x (1/56) y²

Raise 7 to the power 1.

7¹ x (1/56) y²

Multiply 7 times 1/50

1/8y²