Simplify the expression -34- 72-113-212-121

Solution: nbsp; 3^4× 7^2×11^3/21^2×121 = nbsp;3^4× 7^2×11^3/7^2×3^2×11^2 = nbsp;3^4 2× 7^2 2×11^3 2 = nbsp;3^2× 7^0×11^1 = 9 × 1 × 11 = 99 Answer: 99 ...

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Standard VII

Mathematics

Powers and Exponents

Simplify the ...

Question

Simplify the expression :
$\frac{3^{4} \times 7^{2} \times 11^{3}}{21^{2} \times 121}$

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Solution

Solution:

$\frac{3^{4} \times 7^{2} \times 11^{3}}{21^{2} \times 121}$
= $\frac{3^{4} \times 7^{2} \times 11^{3}}{7^{2} \times 3^{2} \times 11^{2}}$
= $3^{4 - 2} \times 7^{2 - 2} \times 11^{3 - 2}$
= $3^{2} \times 7^{0} \times 11^{1}$
= 9 × 1 × 11 = 99

Answer: 99

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Similar questions

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

Q. Simplify and express:

\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}

Q. Simplify and express the given expression in exponential form.

\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}

Q. Simplify and express the given expression in exponential form.

\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}

( 2 marks )

Q. Simplify and express each of the following in exponential form:

\frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}}

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Simplify the expression : 34×72×113212×121

Solution: 34×72×113212×121 = 34×72×11372×32×112 = 34−2×72−2×113−2 = 32×70×111 = 9 × 1 × 11 = 99 Answer: 99

Simplify the expression :
$\frac{3^{4} \times 7^{2} \times 11^{3}}{21^{2} \times 121}$

Solution:

$\frac{3^{4} \times 7^{2} \times 11^{3}}{21^{2} \times 121}$
= $\frac{3^{4} \times 7^{2} \times 11^{3}}{7^{2} \times 3^{2} \times 11^{2}}$
= $3^{4 - 2} \times 7^{2 - 2} \times 11^{3 - 2}$
= $3^{2} \times 7^{0} \times 11^{1}$
= 9 × 1 × 11 = 99

Answer: 99