Question

. By what number should [18/8]-5 be multiplied so that the product equals [3/2]-7 ?​

Answer 1

Answer:

2

Step-by-step explanation:

[(18/8) - 5 ]× x = (3/2 ) - 7

(18-40)/8 × x =( 3- 14)/2

- 22/8 × x = -11/2

x=( -11/2)× (-8/ 22)

x=88/44

x= 2

Hope it hepls

Answer 2

Question

By what number should [18/8]-5 be multiplied so that the product equals [3/2]-7 ?

Solution

To find

Which number should be multiplied so that the product equal (3/2)^-7

Answer

Let the number be = x

= (18/8)^-5 × x= (3/2)^-7

= x = (3/2)^-7 ÷ (18/8)^-5

= x = (2/3)^7 ÷ (8/18)^5

$\longmapsto \tt \: x \: = ( \frac{ \cancel{2} \: \: ^{1} }{3} \times \frac{8}{ \cancel{18} \: \: \: ^{9} } ) \\ \\ \tt \mapsto \: x \: = \frac{1}{3} \times \frac{8}{9} = \frac{8}{27} \\ \\ x \: = \frac{8}{27} be \: multiplied \: by \: ( \frac{3}{2} ) ^{7} \\ \sf \: \mapsto \: \frac{8 \times 3}{27 \times 2} = \frac{24}{54} \\ \\ \longmapsto \sf \: \frac{ \cancel{24 ^{12 ^{6} }} \: \: ^{2} }{ \cancel{54 ^{27 ^{9} \: \: \: } } \: ^{3} } = \frac{2}{3} \huge \tt \: answer$