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

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Answer 1 · 2017-03-03T17:22:37

$r^{29} t^{32}$ $r^29 t^32$

${(r^{3} t^{4})}^{3} {(r^{4} t^{4})}^{5}$ $(r^3t^4)^3 (r^4t^4)^5$

Remove the brackets by multiplying the indices.

$r^{9} t^{12} \times r^{20} t^{20}$ $r^9t^12 xx r^20 t^20$

To multiply, add the indices of like bases:

$r^{29} t^{32}$ $r^29 t^32$

How do you multiply (r3t4)3(r4t4)5(r ^ { 3} t ^ { 4} ) ^ { 3} ( r ^ { 4} t ^ { 4} ) ^ { 5}?