Math, asked by appamramu82, 1 month ago

simplify the following and write it in exponential form 10^11÷10^4​

Answers

Answered by sarojshukla285
0

Answer:

Simplify and write the following exponential form: 3^-5 × 3^2 3^-6 + (2^2 × 3)^2 + (2/3)^-1 + 2^-1 + (1/19)^-1

Let us simplify, 3^-5 × 3^2 3^-6 + (2^2 × 3)^2 + (2/3)^-1 + 2^-1 + (1/19)^-1 = 3^-5+2+6 + (2^4 × 3^2) + 3/2 + 1/2 + 19^1 = 3^3 + (16 × 9) + 4/2 + 19 = 27 + 144 + 2 + 19 = 192 The exponential form is 192 .

Simplify and write in exponential form: (i) 2^9 ÷ 23(ii) 10^8 ÷ 10^4(iii) 9^ -11 ÷ 9^ -7

Answer:(i) 2^9 ÷ 2^3 =2^6(ii) 10^8 ÷ 10^4 =10^4(iii) 9^{-11} ÷ 9^{-7} =3^{-8}Step-by-step explanation:(i) 2^9 ÷ 2^3=2^{9-3} [∵ \frac{a^m}{a^n} = a^{m - n}]=2^6(ii) 10^8 ÷ 10^4=10^{8-4} [∵ \frac{a^m}{a^n} = a^{m - n}]=10^4(iii) 9^{-11} ÷ 9^{-7}=9^{-11-(-7)} [∵ \frac{a^m}{a^n} = a^{m - n}]=9^{-4}=3^{-8} [∵ a^{m^{n}} = a^{mn}]

simplify the following and write in exponential form (1/8)power of -7*(1/8) power of5

Answer:64=6.4×10¹Step-by-step explanation:(1/8)⁻⁷×(1/8)⁵By using the Law of Exponents,aⁿₓaᵇ=aⁿ⁺ᵇ⇒(1/8)⁻⁷⁺⁵⇒(1/8)⁻²⇒(8)²⇒64⇒By Exponential Notation,6.4×10¹

Answered by varmaurvi999
2

Answer:

10^{7}

Step-by-step explanation:

= 10^{11} ÷ 10^{4}

= 10^{11-4}       ( ∵ a^{m} ÷ a^{n} = a^{m-n} )

= 10^{7}

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