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

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

Cancel the common factor of r2.

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Cancel the common factor.

r2s5t8r2s4

Rewrite the expression.

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

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