Question

simplify the questions​

Answer 1

Answer:

22. 4^2*5 *4^4*2

4^10 *4^8

4^10+8

4^18

Answer 2

Step-by-step explanation:

22.

$(4 {}^{2} ) {}^{5} \times (4 {}^{4} ) {}^{2} \\ \\ = 4 {}^{10} \times 4 {}^{8} \\ \\ = 4 {}^{10 + 8} \\ \\ = 4 {}^{18}$

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23.

$( {2}^{20} \div {2}^{15} ) \times 2 {}^{6} \\ \\ = ( \frac{ {2}^{20} }{ {2}^{15} } ) \times {2}^{6} \\ \\ = ( {2}^{20 - 15} ) \times 2 {}^{6} \\ \\ = {2}^{5} \times {2}^{6} \\ \\ = {2}^{5 + 6} \\ \\ = {2}^{11}$

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24.

$(( {3}^{2} ) {}^{3} \times {2}^{6} ) \times {5}^{6} \\ \\ = ( {3}^{6} \times {2}^{6} ) \times 5 {}^{6} \\ \\ = {3}^{6} \times {2}^{6} \times {5}^{6}$

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25.

$(( {3}^{2} ) {}^{3} \times {3}^{4} ) \div {3}^{7} \\ \\ = ( {3}^{6} \times {3}^{4} ) \div {3}^{7} \\ \\ = ( {3}^{6 + 4} ) \div {3}^{7} \\ \\ = {3}^{10} \div {3}^{7} \\ \\ = {3}^{3}$

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26.

$(( {5}^{3} ) {}^{4} \div {5}^{10} ) \times {2}^{2} \\ \\ = ( {5}^{12} \div {5}^{10} ) \times {2}^{2} \\ \\ = ( {5}^{12 - 10} ) \times {2}^{2} \\ \\ = {5}^{2} \times {2}^{2} \\ \\ = 25 \times 4 \\ \\ = 100 \\ \\ = {10}^{2}$