Question

Write the given expression in exponential form

$6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2$

Answer 1

$6a^3{x}^3=6\times a\times a\times a\times x\times x\times x$

$17x^2{y}^4=17\times x\times x\times y\times y\times y\times y$

$3y^2{a}^2=3\times y\times y\times a\times a$

$6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2=6\times a\times a\times a\times x\times x\times x\times 17\times x\times x\times y\times y\times y\times y\times 3\times y\times y\times a\times a$

$=6\times 17\times 3\times a\times a\times a\times a\times a\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y$

$=306a^5{x}^5{y}^6$

Hence, exponential form of $6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2$ $=306a^5{x}^5{y}^6$