Question

a) If 49x= 7³, then the value of x is​

Answer 1

Answer:

49x = 7^3

49x = 343

x = 343/49 = 7

Hope this will help you.

plz follow me.

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

$= > 49x = {7}^{3}$

$= > {7}^{2} x = {7}^{3}$

$x = \frac{ {7}^{3} }{ {7}^{2} } = {7}^{3 - 2} = 7$

$\bold{\pink{x = 7}}$

Check :-

$49 \times 7 =34 3 = {7}^{3}$

Concept and basis:

• If a value having same base but having different power then its power gets added in multiplication and gets subtracted in division.

${a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5}$

$\frac{ {a}^{3} }{ {a}^{2} } = {a}^{3 - 2} = a$

Additional information:

$\bold{\boxed{ {a}^{mn} = { {(a}^{m}) }^{n}}}$

$\bold{\boxed{ {a}^{ - 1} = \frac{1}{a}}}$