Simplify (r^2s^5t^4)/(r^2s^4t^-4)

Math
r2s5t4r2s4t-4
Move t-4 to the numerator using the negative exponent rule 1b-n=bn.
r2s5t4t4r2s4
Multiply t4 by t4 by adding the exponents.
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Move t4.
r2s5(t4t4)r2s4
Use the power rule aman=am+n to combine exponents.
r2s5t4+4r2s4
Add 4 and 4.
r2s5t8r2s4
r2s5t8r2s4
Cancel the common factor of r2.
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Cancel the common factor.
r2s5t8r2s4
Rewrite the expression.
s5t8s4
s5t8s4
Cancel the common factor of s5 and s4.
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Factor s4 out of s5t8.
s4(st8)s4
Cancel the common factors.
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Multiply by 1.
s4(st8)s4⋅1
Cancel the common factor.
s4(st8)s4⋅1
Rewrite the expression.
st81
Divide st8 by 1.
st8
st8
st8
Simplify (r^2s^5t^4)/(r^2s^4t^-4)

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