What is sqrt(Spt^8)^{78888} ?

The solution to sqrt(Spt^8)^{78888} is S^{39444}p^{39444}t^{315552}

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simplify sqrt(Spt^8)^{78888}

simplify

Sp t^{8}^{78888}

S^{39444} p^{39444} t^{315552}

Solution steps

(Sp t^{8})^{78888}

Rewrite

78888

2 \cdot 39444

= (Sp t^{8})^{2 \cdot 39444}

Apply exponent rule:

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

assuming

a \geq 0

(Sp t^{8})^{2 \cdot 39444} = ((Sp t^{8})^{2})^{39444}

= ((Sp t^{8})^{2})^{39444}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(Sp t^{8})^{2} = Sp t^{8}

= (Sp t^{8})^{39444}

Apply exponent rule:

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

(Sp t^{8})^{39444} = S^{39444} p^{39444} (t^{8})^{39444}

= S^{39444} p^{39444} (t^{8})^{39444}

Simplify

(t^{8})^{39444} : t^{315552}

= S^{39444} p^{39444} t^{315552}

(x^{2} - 4 x + 4) (x^{2} - 4 x + 4)

4.5 \times 1 0^{- 3}

4.5 \times 1 0^{- 2}

(- 5)^{n} (- \frac{1}{5})^{n}

9.31 \cdot 1 0^{- 8}

What is sqrt(Spt^8)^{78888} ?
The solution to sqrt(Spt^8)^{78888} is S^{39444}p^{39444}t^{315552}