Question

2^-1/3/32^x=8^x/2^3​

Answer 1

Answer:

8

x

=

(

1

32

)

x

−

2

Apply the product rule to

1

32

.

8

x

=

1

x

−

2

32

x

−

2

One to any power is one.

8

x

=

1

32

x

−

2

Move

32

x

−

2

to the numerator using the negative exponent rule

1

b

−

n

=

b

n

.

8

x

=

32

−

(

x

−

2

)

Create equivalent expressions in the equation that all have equal bases.

2

3

x

=

2

5

(

−

(

x

−

2

)

)

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

3

x

=

5

(

−

(

x

−

2

)

)

Solve for

x

.

Tap for more steps...

x

=

5

4

The result can be shown in multiple forms.

Exact Form:

x

=

5

4

Decimal Form:

x

=

1.25

Mixed Number Form:

x

=

1

1

4