Question

Simplify using the properties of exponents: (x^4 y^-3)^4/x^0y^2

Answer 1

Rewrite using the commutative property of multiplication.

2

(

2

x

0

y

2

)

−

3

y

x

3

Anything raised to

0

is

1

.

2

(

2

⋅

1

y

2

)

−

3

y

x

3

Multiply

2

by

1

.

2

(

2

y

2

)

−

3

y

x

3

Rewrite the expression using the negative exponent rule

b

−

n

=

1

b

n

.

2

1

(

2

y

2

)

3

y

x

3

Simplify the denominator.

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2

1

8

y

6

y

x

3

Simplify terms.

x

3

4

y

5