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jmc

algebra junior

Problem

Calculate:

3 4^{5} + 4^{5} + 4^{5} + 4^{5}

.

Solution

We have

3 4^{5} + 4^{5} + 4^{5} + 4^{5} = 3 4 \cdot 4^{5} = (4^{1 + 5})^{\frac{1}{3}} = (4^{6})^{\frac{1}{3}} = 4^{6 \cdot \frac{1}{3}} = 4^{2} = 16

.

Final answer

16