Simplify and express each of the following in exponential form: (a⁵/a³) × a⁸

Open in App

Solution

Given: (a⁵/a³) × a⁸
= (a^{5 –}3) × a⁸ … [∵a^m÷ aⁿ = a^{m – n}]
= a² × a⁸
= a^{2 + 8} … [∵a^m× aⁿ = a^{m + n}]
= a¹⁰
Therefore, (a⁵/a³) × a⁸= a¹⁰

Suggest Corrections

Similar questions

\frac{2^{8} \times a^{5}}{4^{3} \times a^{3}}

Simplifyand express each of the following in exponential form:

(i) $\frac{2^{3} \times 3^{4} \times 4}{3 \times 32}$

(ii) $({5^{2}}^{3} \times 5^{4}) \div 5^{7}$

(iii) $25^{4} \div 5^{3}$

(iv) $\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}$

(v) $\frac{3^{7}}{3^{4} \times 3^{3}}$

(vi) $2^{0} + 3^{0} + 4^{0}$

(vii) $2^{0} \times 3^{0} \times 4^{0}$

(viii) $(3^{0} + 2^{0}) \times 5^{0}$

(ix) $\frac{2^{8} \times a^{5}}{4^{3} \times a^{3}}$

(x) $\frac{a^{5}}{a^{3}} \times a^{8}$

(xi) $\frac{4^{5} \times a^{8} b^{3}}{4^{5} \times a^{5} b^{2}}$

(xii) $(2^{3} \times 2)^{2}$

Question 84 (d)

Simplify and express each fo the following exponential form.
$(\frac{a^{6}}{a^{4}}) \times a^{5} \times a^{0}$

(\frac{a^{5}}{a^{3}}) \times a^{8}

a^{5} \times a^{3} \times a^{7}

Join BYJU'S Learning Program