Fours and Fractions

Algebra Level 1

$\large { 4 }^{ \frac { 6 }{ 2 } }\div { 4 }^{ \frac { 3 }{ 2 } }\times { 4 }^{ \frac { 7 }{ 2 } }\div { 4 }^{ \frac { 20 }{ 4 } }\times { 4 }^{ \frac { 4 }{ 2 } } =\, ?$

The answer is 16.

1 solution

Chew-Seong Cheong
Aug 11, 2016

$\large \begin{aligned} 4^\frac 62 \div 4^\frac 32 \times 4^\frac 72 \div 4^\frac {20}4 \times 4^\frac 42 & = 4^{\frac 62 - \frac 32 + \frac 72 - \frac {20}4 + \frac 42} \\ & = 4^{3-\frac 32 + \frac 72 - 5 + 2} \\ & = 4^2 = \boxed{16} \end{aligned}$

Fours and Fractions

The answer is 16.

1 solution

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