What is sqrt(100^{urmom)} ?

The solution to sqrt(100^{urmom)} is 10^{urm^2o}

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simplify sqrt(100^{urmom)}

simplify

10 0^{u r m o m}

1 0^{u r m^{2} o}

Solution steps

10 0^{u r m o m}

Apply radical rule:

a = a^{\frac{1}{2}}

= (10 0^{u r m o m})^{\frac{1}{2}}

Apply exponent rule:

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

= 10 0^{u r m o m \frac{1}{2}}

Simplify

u r m o m \frac{1}{2} : \frac{u r m ^{2} o}{2}

= 10 0^{\frac{u r m ^{2} o}{2}}

Factor the number:

100 = 1 0^{2}

= (1 0^{2})^{\frac{u r m ^{2} o}{2}}

Apply exponent rule:

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

(1 0^{2})^{\frac{u r m ^{2} o}{2}} = 1 0^{2 \cdot \frac{u r m ^{2} o}{2}} = 1 0^{u r m^{2} o}

= 1 0^{u r m^{2} o}

42918 \cdot 1.6 \cdot 1 0^{- 13}

(7.16 x e^{14}) 6.626 x e^{- 34}

2.69194 \cdot 1 0^{- 6}

1.6 \cdot 1 0^{- 8} \cdot 30

(2 k^{2}) (7 k^{3})