en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (9/4)^7(9/4)^5

Solution

simplify

(\frac{9}{4})^{7} (\frac{9}{4})^{5}

Solution

\frac{9 ^{12}}{16777216}

+1

Decimal Notation

16834.11219 \dots

Solution steps

(\frac{9}{4})^{7} (\frac{9}{4})^{5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{9}{4})^{7} (\frac{9}{4})^{5} = (\frac{9}{4})^{7 + 5}

= (\frac{9}{4})^{7 + 5}

Add the numbers:

7 + 5 = 12

= (\frac{9}{4})^{12}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{9 ^{12}}{4 ^{12}}

4^{12} = 16777216

= \frac{9 ^{12}}{16777216}

Popular Examples

simplify \sqrt[5]{\sqrt[3]{sqrt(11)}}simplify

simplify 30e^{-2}simplify

30 e^{- 2}

simplify sqrt(1-x)*sqrt(x)simplify

1 - x \cdot x

simplify 12675851e^{-21505(973810)}simplify

12675851 e^{- 21505 (973810)}

simplify (e^5)^4 simplify

(e^{5})^{4}

Frequently Asked Questions (FAQ)

What is (9/4)^7(9/4)^5 ?
The solution to (9/4)^7(9/4)^5 is (9^{12})/(16777216)