Question

{(1/3)}^-2 (1/2)^-3} ÷(1/4)^-2
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Answer 1

solution is 209/16=13.06250

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)". 1 more similar replacement(s)

STEP

1

:

1

Simplify —

4

Equation at the end of step

1

:

1 1 1

{—}-2+({—}-2)+(—2)

2 3 4

STEP

2

:

2.1 4 = 22 (4)2 = (22)2 = 24

Equation at the end of step

2

:

1 1 1

{—}-2+({—}-2)+——

2 3 24

STEP

3

:

1

Simplify —

3

Equation at the end of step

3

:

1 1 1

{—}-2 + (—)-2)) + ——

2 3 24

STEP

4

:

Equation at the end of step

4

:

1 1 1

{—}-2 + ———————) + ——

2 (3)(-2) 24

STEP

5

:

1

Simplify —

2

Equation at the end of step

5

:

1 1 1

((—)-2) + ———————) + ——

2 (3)(-2) 24

STEP

6

:

Equation at the end of step

6

:

1 1 1

(——————— + ———————) + ——

(2)(-2) (3)(-2) 24

STEP

7

:

Adding fractions which have a common denominator :

7.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 + 9 13

————— = ——

1 1

Equation at the end of step

7

:

13 1

—— + ——

1 24

STEP

8

:

Rewriting the whole as an Equivalent Fraction :

8.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 24 as the denominator :

13 13 • 24

13 = —— = ———————

1 24

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

8.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

13 • 16 + 1 209

——————————— = ———

16 16

Final result :

209

——— = 13.06250

16