Question

Match the values with the corresponding laws of exponents.

• A. $\frac{4^7}{4^5}=4^2$
• B. $2^4\times 3^4=6^4$
• C. $3^7\times 3^2=3^9$
• D. $(2^7{)}^4=2^{28}$

Answer 1

The values corresponding to the laws are :
$3^7\times 3^2=3^{7+2}$ corresponds to $a^m\times a^n=a^{m+n}$

$\frac{4^7}{4^5}=4^{7-5}$ corresponds to $\frac{a^m}{a^n}=a^{m-n}$

$2^4\times 3^4=(2\times 3{)}^4$ corresponds to $a^m\times b^m=(ab{)}^m$

$(2^7{)}^4=2^{28}$ corresponds to $(a^m{)}^n=a^{mn}$