Simplify and express following in exponential form - 45- a3b345- a5b2

4^54^5×a^3a^5×b^3b^2=1×1a^2× b=ba^2=b^1a^ 2 . ...

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Question

Simplify and express following in exponential form :
$\frac{4^{5} \times a^{3} b^{3}}{4^{5} \times a^{5} b^{2}}$

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Solution

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

[(4)^{5} \times (4)^{2}] \div (2^{6} \times 2^{4})

(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4})

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

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

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