Solve 4 5- a 8b 34 5- a 5b 2

4^5×a^8b^34^5×a^5b^2 =4^5 5×a^8 5×b^3 2 since a^ma^n=a^m n =4^0×a^3×b^1 since a^0=1 =a^3b ...

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Division of a Polynomial by a Polynomial

Solve 4 5× a...

Question

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

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

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

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

sin 45^{\circ} + cos 45^{\circ}

2 {tan}^{2} 45^{\circ} + {cos}^{2} 30^{\circ} - {sin}^{2} 60^{\circ} + tan 45^{\circ} / cot 45^{\circ} .

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