F Evaluate 154 - 183-33- 52 - 122

We have 15^4 × 18^3/3^3× 5^2 × 12^2 = (3× 5)^4 × (2× 3^2)^3/3^3 × 5^2 × (2^2 × 3)^2 = 3^4 × 5^4 × 2^3 × 3^6/3^3 × 5^2 × 2^4 × 3^2 = 3^4+6 3 2× 5^4 2/2^4 3 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Exponents with Like Bases

f Evaluate 15...

Question

Question 85 (f)

Evaluate
$\frac{15^{4} \times 18^{3}}{3^{3} \times 5^{2} \times 12^{2}}$

Open in App

Solution

We have
$\frac{15^{4} \times 18^{3}}{3^{3} \times 5^{2} \times 12^{2}} = \frac{(3 \times 5)^{4} \times (2 \times 3^{2})^{3}}{3^{3} \times 5^{2} \times (2^{2} \times 3)^{2}} = \frac{3^{4} \times 5^{4} \times 2^{3} \times 3^{6}}{3^{3} \times 5^{2} \times 2^{4} \times 3^{2}} = \frac{3^{4 + 6 - 3 - 2} \times 5^{4 - 2}}{2^{4 - 3}} = \frac{3^{5} \times 5^{2}}{2} = \frac{243 \times 25}{2} = \frac{6075}{2}$

Suggest Corrections

Similar questions

Question 85 (c)

Evaluate
$\frac{125 \times 5^{2} \times a^{7}}{10^{3} \times a^{4}}$

Question 85 (d)

Evaluate
$\frac{3^{4} \times 12^{3} \times 36}{2^{5} \times 6^{3}}$

Evaluate:
5² – 9² + 3³ × 4²÷ 2⁴

___

Q. Evaluate the following:
(i)

{\{(5^{2} + 12^{2})^{1 / 2}\}}^{3}

(ii)

{\{(6^{2} + 8^{2})^{1 / 2}\}}^{3}

Question 85 (g)

Evaluate
$\frac{6^{4} \times 9^{2} \times 25^{3}}{3^{2} \times 4^{2} \times 15^{6}}$

Join BYJU'S Learning Program

Explore more

Exponents with Like Bases

Standard VII Mathematics

Join BYJU'S Learning Program

Question 85 (f) Evaluate 154×18333×52×122

We have 154×18333×52×122=(3×5)4×(2×32)333×52×(22×3)2=34×54×23×3633×52×24×32=34+6−3−2×54−224−3=35×522=243×252=60752

Question 85 (f)

Evaluate
$\frac{15^{4} \times 18^{3}}{3^{3} \times 5^{2} \times 12^{2}}$