Question

help me out giyszzzz​

Answer 1

Answer:

The value of x is $\frac{5}{2}$.

Step-by-step explanation:

Some exponents rule are:

• $a^{m}\div a^{n}=a^{m-n}$

• $a^{m}=a^{n}$ $\Rightarrow m=n$
• $(a^{m})^{n}=a^{m\times n}$

Use these rules to solve the expression for x as follows:

$(\frac{3}{7})^{2X+1}\div(\frac{3}{7})^{-1}=[(\frac{3}{7})^{-1}]^{-7}\\(\frac{3}{7})^{2X+1-(-1)}=[(\frac{3}{7})^{-1\times-7}]\\(\frac{3}{7})^{2X+2}=(\frac{3}{7})^{7}\\2X+2=7\\2X=5\\X=\frac{5}{2}$

Thus, the value of x is $\frac{5}{2}$.