Question

Simplify and express the answer in the exponential form :
▪︎[(3²)³ × 15⁶] ÷ 5⁶
▪︎(3⁵ × 10⁵ × 25 ) ÷ (5⁷ × 6⁵ )

need a well explained ans for both ~
no spams and plagiarism
kindly stay away if u don't know the ans :) ​

Answer 1

Answer :-

• 3¹²
• 1.

Answer with explanation :-

#1

[(3²)³ × 15⁶] ÷ 5⁶ = [ 3⁶ × ( 3 × 5 ) ⁶ ] ÷ 5⁶

• (3⁶ × 3⁶ × 5⁶ ) ÷ 5⁶
• 3⁶ × 3⁶ × 5⁶ - ⁶

• 3¹².1 = 3¹²

Answer = 3¹²

#2

(3⁵ × 10⁵ × 25 ) ÷ (5⁷ × 6⁵ ) = [3⁵ × ( 2 × 5)⁵ × 5² ] ÷ [5⁷ × (2 × 3)⁵ ]

• (3⁵ × 3⁵ × 5⁵ × 5² ) ÷ [ 5⁷ × 2⁵ × 3⁵ ]
• (3⁵ × 2⁵ × 5⁵+² ) ÷ [ 5⁷ × 2⁵ × 3⁵ ]

• 3⁵ × 2⁵ × 5⁷ / 2⁵ × 3⁵ × 5⁷ = 1.

Answer : 1.

Hope my answer helps!!

Answer 2

$\\ \sf\Rrightarrow \dfrac{(3^2)^3\times 15^6}{5^6}$

$\\ \sf\Rrightarrow \dfrac{3^6\times 3^65^6}{5^6}$

• Cancel 5^6

$\\ \sf\Rrightarrow 3^63^6$

$\\ \sf\Rrightarrow 3^{12}$

#2

$\\ \sf\Rrightarrow \dfrac{3^5(10^5)25}{5^76^5}$

$\\ \sf\Rrightarrow \dfrac{3^5 2^5 5^5 5^2}{5^7 2^52^33^5}$

• Cancel 2^5 and 3^5

$\\ \sf\Rrightarrow \dfrac{5^{5+2}}{5^7}$

$\\ \sf\Rrightarrow \dfrac{5^7}{5^7}$

$\\ \sf\Rrightarrow 1$