What is 25^{sqrt(2)}*125^{sqrt(2)} ?

The solution to 25^{sqrt(2)}*125^{sqrt(2)} is 3125^{sqrt(2)}

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simplify 25^{sqrt(2)}*125^{sqrt(2)}

simplify

2 5^{2} \cdot 12 5^{2}

312 5^{2}

Decimal Notation

87591.97102 \dots

Solution steps

2 5^{2} \cdot 12 5^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

2 5^{2} \cdot 12 5^{2} = (25 \cdot 125)^{2}

= (25 \cdot 125)^{2}

Multiply the numbers:

25 \cdot 125 = 3125

= 312 5^{2}

31.25 e^{- \frac{0}{0.32}}

241 \cdot 1. 5^{- 0.25}

(4 x^{2} y) (8 x y^{3})

What is 25^{sqrt(2)}*125^{sqrt(2)} ?
The solution to 25^{sqrt(2)}*125^{sqrt(2)} is 3125^{sqrt(2)}