Question

Question=
1. Using law of exponents, simplify and answer in exponential form.

I. ${7}^{15} \div {7}^{10}$
ii. ${3}^{9} \times {9}^{3}$
iii. ${x}^{4} \div {y}^{4}$
iv. ${(3}^{20} \div {3}^{15} ) \times {3}^{10}$

Answer 1

Laws of exponent

$a^b\times a^c=a^{b+c}$

$\frac{a^b}{a^c}=a^{b-c}$

$(a^b)^c=a^{bc}$

Question i

$\frac{7^{15}}{7^{10}}$

$=>7^{15-10}$

$=>7^{5}$

Question ii

$3^9\times9^3$

$=>3^9\times(3^2)^3$

$=>3^9\times3^6$

$=>3^{9+6}$

$=>3^{15}$

Question iii

$\frac{x^4}{y^4}$

$=>(\frac{x}{y})^4$

Question iv

$\frac{3^{20}}{3^{15}}\times3^{10}$

$=>3^{20-15}\times3^{10}$

$=>3^5\times3^{10}$

$=>3^{5+10}$

$=>3^{15}$

ANSWERS :

(i) $7^5$

(ii) $3^{15}$

(iii) $(\frac{x}{y})^4$

(iv) $3^{15}$

Thank you !

Answer 2

here is ur answer above ⏫⏫...


hope it helps ♡♡