Question

a) x^2 : (3^2)^2 = 2^2 b) 196 : x^2 = 7^4 : 7 c) 324 : 5^x = (2 × 3^2)^2​

Answer 1

Răspuns:

a)

${x}^{2} \div ( {3}^{2} )^{2} = {2}^{2}$

${x}^{2} \div {3}^{4} = 4$

${x}^{2} = 4 \times 81$

${x}^{2} = 324$

$x = \sqrt{324} = 18$

b)

$196 \div {x}^{2} = {7}^{4} \div 7$

$196 \div {x}^{2} = {7}^{3}$

$196 \div {x}^{2} = 343$

${x}^{2} = 343 \times 196 = 67228$

$x = \sqrt{67288} = 259.39$

c)

$324 \div {5}^{x} = (2 \times {3}^{2} ) ^{2}$

$324 \times {5}^{x} = 324$

${5}^{x} = 1 = > x = 0$