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How do you multiply #(r ^ { 3} t ^ { 4} ) ^ { 3} ( r ^ { 4} t ^ { 4} ) ^ { 5}#?

Answer 1

Eli Assouline

#r^29 t^32#

#(r^3t^4)^3 (r^4t^4)^5#

Multiplying the indices will remove the brackets.

#r^9t^12 xx r^20 t^20#

Add the indices of like bases to multiply:

#r^29 t^32#

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Answer 2

Kennedy Adams

To multiply the given expressions, apply the properties of exponents. Use the power of a power rule and multiply the exponents together:

(r^3t^4)^3 * (r^4t^4)^5 = r^(33)t^(43) * r^(45)t^(45) = r^9t^12 * r^20t^20 = r^(9+20)t^(12+20) = r^29t^32

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.