en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^{-7}*5^5)^2

Solution

simplify

(2^{- 7} \cdot 5^{5})^{2}

Solution

\frac{9765625}{16384}

+1

Decimal Notation

596.04644 \dots

Solution steps

(2^{- 7} \cdot 5^{5})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2^{- 7} \cdot 5^{5})^{2} = (2^{- 7})^{2} (5^{5})^{2}

= (2^{- 7})^{2} (5^{5})^{2}

(2^{- 7})^{2} = \frac{1}{16384}

= \frac{1}{16384} (5^{5})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(5^{5})^{2} = 5^{5 \cdot 2}

= \frac{1}{16384} \cdot 5^{5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= \frac{1}{16384} \cdot 5^{10}

5^{10} = 9765625

= \frac{1}{16384} \cdot 9765625

\frac{1}{16384} \cdot 9765625 = \frac{9765625}{16384}

= \frac{9765625}{16384}

Popular Examples

factor 4b^2-9 factor

4 b^{2} - 9

5 (2 x - 1) > 6 x + 3

simplify 11/5-3/7 simplify

\frac{11}{5} - \frac{3}{7}

simplify 2/3*2/5 simplify

\frac{2}{3} \cdot \frac{2}{5}

simplify (b^2+8b+15)/(b+5)simplify

\frac{b ^{2} + 8 b + 15}{b + 5}

Frequently Asked Questions (FAQ)

What is (2^{-7}*5^5)^2 ?
The solution to (2^{-7}*5^5)^2 is 9765625/16384