What is (24)/((4(1/4)+3)^{5/2)} ?

The solution to (24)/((4(1/4)+3)^{5/2)} is 3/4

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simplify (24)/((4(1/4)+3)^{5/2)}

simplify

\frac{24}{( 4 ( \frac{1}{4} ) + 3 ) ^{\frac{5}{2}}}

\frac{3}{4}

Decimal Notation

0.75

Solution steps

\frac{24}{( 4 ( \frac{1}{4} ) + 3 ) ^{\frac{5}{2}}}

Apply rule:

(a) = a

(\frac{1}{4}) = \frac{1}{4}

= \frac{24}{( 4 \cdot \frac{1}{4} + 3 ) ^{\frac{5}{2}}}

(4 \cdot \frac{1}{4} + 3)^{\frac{5}{2}} = 32

= \frac{24}{32}

Factor the number:

24 = 8 \cdot 3

= \frac{8 \cdot 3}{32}

Factor the number:

32 = 8 \cdot 4

= \frac{8 \cdot 3}{8 \cdot 4}

Cancel the common factor:

8

= \frac{3}{4}

(- 4 \frac{1}{2})^{2}

x^{2} - 4 < 5

\frac{5}{7} x + 5 > 10

7 x^{2} + 2 x

p^{2} + 8 p + 7

What is (24)/((4(1/4)+3)^{5/2)} ?
The solution to (24)/((4(1/4)+3)^{5/2)} is 3/4