Question

simplify [(15^1/4 )/(3^1/4)]^-2

Answer 1

(151/4/31/2)-2

Final result :

-11

——— = -1.37500

8

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(151)

————— ÷ 3 ÷ 2 - 2

4

Step 2 :

2.1 15 = 3•5

(15)1 = (3•5)1 = 3 • 5

Equation at the end of step 2 :

(3•5)

————— ÷ 3 ÷ 2 - 2

4

Step 3 :

(3•5)

Simplify —————

4

Equation at the end of step 3 :

15

—— ÷ 3 ÷ 2 - 2

4

Step 4 :

15

Divide —— by 3

4

Canceling Out :

4.1 Canceling out 3 as it appears on both sides of the fraction line

Equation at the end of step 4 :

5

— ÷ 2 - 2

4

Step 5 :

5

Divide — by 2

4

Equation at the end of step 5 :

5

— - 2

8

Step 6 :

Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 8 as the denominator :

2 2 • 8

2 = — = —————

1 8

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 :

6.2 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:

5 - (2 • 8) -11

——————————— = ———

8 8

Final result :

-11

——— = -1.37500

8

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