$\frac{ {24}^{2} }{ {2}^{5} }+{10}^{3}\div40+{2}^{2} \times {3}^{3} \times {5}^{2}\div{30}^{2}$
Write the division as a fraction$\frac{ {24}^{2} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+{2}^{2} \times {3}^{3} \times {5}^{2}\div{30}^{2}$
Write the division as a fraction$\frac{ {24}^{2} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {2}^{2} \times {3}^{3} \times {5}^{2} }{ {30}^{2} }$
Factor the expression$\frac{ {6}^{2} \times {4}^{2} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {2}^{2} \times {3}^{3} \times {5}^{2} }{ {30}^{2} }$
Factor the expression$\frac{ {6}^{2} \times {4}^{2} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {2}^{2} \times {3}^{3} \times {5}^{2} }{ {15}^{2} \times {2}^{2} }$
Write the expression in exponential form with the base of $2$$\frac{ {6}^{2} \times {2}^{4} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {2}^{2} \times {3}^{3} \times {5}^{2} }{ {15}^{2} \times {2}^{2} }$
Factor the expression$\frac{ {6}^{2} \times {2}^{4} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {2}^{2} \times {3}^{3} \times {5}^{2} }{ {5}^{2} \times {3}^{2} \times {2}^{2} }$
Cancel out the common factor ${2}^{2}$$\frac{ {6}^{2} \times {2}^{4} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {3}^{3} \times {5}^{2} }{ {5}^{2} \times {3}^{2} }$
Evaluate the power$\frac{ 36 \times {2}^{4} }{ {2}^{5} }+\frac{ {10}^{3} }{ 40 }+\frac{ {3}^{3} \times {5}^{2} }{ {5}^{2} \times {3}^{2} }$
Simplify the expression$\frac{ 36 }{ 2 }+\frac{ {10}^{3} }{ 40 }+\frac{ {3}^{3} \times {5}^{2} }{ {5}^{2} \times {3}^{2} }$
Cancel out the common factor ${5}^{2}$$\frac{ 36 }{ 2 }+\frac{ {10}^{3} }{ 40 }+\frac{ {3}^{3} }{ {3}^{2} }$
Simplify the expression$\frac{ 36 }{ 2 }+\frac{ {10}^{3} }{ 40 }+3$
Cancel out the common factor $2$$18+\frac{ {10}^{3} }{ 40 }+3$
Add the numbers$21+\frac{ {10}^{3} }{ 40 }$
Evaluate the power$21+\frac{ 1000 }{ 40 }$
Cancel out the common factor $40$$21+25$
Add the numbers$46$