Tolong dijawab ya kaka​

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Tolong dijawab ya kaka​

Tolong dijawab ya kaka​

NOMOR 3.

a. {y}^{3} times 2 {y}^{7} times {(3y)}^{2}

= {y}^{3} times 2 {y}^{7} times ( {3}^{2} {y}^{2} )

= {y}^{3} times 2 {y}^{7} times 9 {y}^{2}

= (2 times 9) times {y}^{3 + 7 + 2} = 18 {y}^{12}

b. b times 2 {y}^{7} times {b}^{3} times {y}^{2}

= b times {b}^{3} times 2 {y}^{7} times {y}^{2}

= {b}^{1 + 3} times 2 {y}^{7 + 2}

= {b}^{4} times 2 {y}^{9}

= 2 {b}^{4} {y}^{9}

c. 3 {m}^{3} times {(mn)}^{4}

= 3 {m}^{3} times {m}^{4} {n}^{4}

= 3 {m}^{3 + 4} {n}^{4}

= 3 {m}^{7} {n}^{4}

d. { ({tn}^{3}) }^{4} times 4 {t}^{3}

= {t}^{4} {n}^{3 times 4} times 4 {t}^{3}

= {t}^{4} {n}^{12} times 4 {t}^{3}

= 4 {t}^{4 + 3} {n}^{12} = 4 {t}^{7} {n}^{12}

e. ( {2x}^{3} ) times 3( { {x}^{2} {y}^{2} )}^{3} times 5 {y}^{4}

= ( {2x}^{3} ) times 3( {x}^{2 times 3} {y}^{2 times 3} ) times 5 {y}^{4}

= 2 {x}^{3} times 3{x}^{6} {y}^{6} times 5 {y}^{4}

= (2 times 3 times 5) {x}^{3 + 6} {y}^{6 + 4}

= 30 {x}^{9} {y}^{10}

NOMOR 4.

a. {3}^{3} times 2 times {3}^{7}

= 2 times {3}^{3} times {3}^{7}

= 2 times {3}^{3 + 7}

= 2 times {3}^{10} = 2 times 59.049 = 118.098

b. ( {2}^{2} times {1}^{6} ) + 50 = (4 times 1) + 50 = 4 + 50 = 54

c. { frac{1}{2} }^{3} times (( { - { frac{1}{2}) }^{3}) }^{4}

= ( { frac{1}{2}) }^{3}times (( { - { frac{1}{2}) }^{3}) }^{3} times ( { - frac{1}{2}) }^{3}

= ( frac{1}{2} times ( { { - frac{1}{2} )}^{3}) }^{3} times ( { - frac{1}{2}) }^{3}

=( frac{1}{2} times ( { { - (frac{1}{2} )}^{3})) }^{3} times ( { - frac{1}{2}) }^{3}

= ( - frac{1}{2} times ( { { frac{1}{2} )}^{3}) }^{3} times ( { - frac{1}{2}) }^{3}

= ( - ( { { frac{1}{2} )}^{4}) }^{3} times ( - { frac{1}{2} )}^{3}

= ( - {frac{1}{16}) }^{3} times ( { - frac{1}{2}) }^{3}

= - ( { frac{1}{16}) }^{3} times ( - ( { frac{1}{2} )}^{3} )

= ( { frac{1}{16} times frac{1}{2}) }^{3} = ( { frac{1}{32} )}^{3} = frac{1}{32.768}

d. {2}^{4} times 4 times {2}^{3}

= {2}^{4} times {2}^{2} times {2}^{3}

= {2}^{4 + 2 + 3} = {2}^{9} = 512