What is r^{-8}s^{-6}t^0 ?

The solution to r^{-8}s^{-6}t^0 is 1/(r^8s^6)

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simplify r^{-8}s^{-6}t^0

simplify

r^{- 8} s^{- 6} t^{0}

\frac{1}{r ^{8} s ^{6}}

Solution steps

r^{- 8} s^{- 6} t^{0}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

r^{- 8} = \frac{1}{r ^{8}}

= \frac{1}{r ^{8}} s^{- 6} t^{0}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

s^{- 6} = \frac{1}{s ^{6}}

= \frac{1}{r ^{8}} \cdot \frac{1}{s ^{6}} t^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

t^{0} = 1

= \frac{1}{r ^{8}} \cdot \frac{1}{s ^{6}} \cdot 1

Apply rule:

a \cdot 1 = a

= \frac{1}{r ^{8}} \cdot \frac{1}{s ^{6}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{r ^{8} s ^{6}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{r ^{8} s ^{6}}

\frac{1}{4} + \frac{1}{4}

(\frac{5}{2}) + (\frac{5}{3})

\frac{56}{70}

81 - 100 x^{6} y^{6}

\frac{20}{121 d ^{4}}