Question

Match the first column elements with their correct answers given in the second column.

• A. $2^5{x}^{10}{y}^{15}$
• B. $x^6{y}^9{z}^{12}$
• C. $4^{3x}{6}^{2x}$
• D. $7^{4rs}{z}^{6rs}$

Answer 1

$(2^1{x}^2{y}^3{)}^5=2^{1\times 5}{x}^{2\times 5}{y}^{3\times 5}$
$=2^5{x}^{10}{y}^{15}$
$(x^2{y}^3{z}^4{)}^3=x^{2\times 3}{y}^{3\times 3}{z}^{4\times 3}$
$=x^6{y}^9{z}^{12}$
$(4^3\times 6^2{)}^x=4^{3\times x}\times 6^{2\times x}$
$=4^{3x}{6}^{2x}$

$(7^2{z}^3{)}^{2rs}=7^{2\times 2rs}{z}^{3\times 2rs}$
$=7^{4rs}{z}^{6rs}$