2a^6divided(2a^*2a^4) where a is a rational number please tell me it is very urgent
Answers
Answer:
2 (i) 1/2, (ii) 1/(7.3)^7, (iii) 5^3
Step-by-step explanation:
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2 (i) (2a^6)/(2a^2 X 2a^4)
2 in Numerator(N) and one 2 in denominator(D) get cancelled. a^6 in N and a^6 in D get also cancelled. So, only 1/2 remains.
2 (ii) (1/7.3)^2 can be written as (7.3)^-2. So, the answer is (7.3)^-7, can be written as 1/(7.3)^7.
2 (iii) (5^2 X 5^5) can be written as (5^7). So, (5^10)/(5^7) becomes 5^3.
Answer :
2.
(i) Now, 2a⁶ ÷ (2a² × 2a⁴)
= (2a⁶) ÷ {(2 × 2) × (a² × a⁴)}
= (2a⁶) ÷ (4 × a²⁺⁴)
= (2a⁶) ÷ (4a⁶)
= 2 ÷ 4
= 1 ÷ 2
(ii) Now, (7.3)⁻⁵ × (1/7.3)²
= (7.3)⁻⁵ × (7.3⁻¹)²
= (7.3)⁻⁵ × (7.3)⁻²
= (7.3)⁻⁵⁻²
= (7.3)⁻⁷
= (1/7.3)⁷
(iii) Now, 5¹⁰ ÷ (5² × 5⁵)
= 5¹⁰ ÷ (5²⁺⁵)
= 5¹⁰ ÷ 5⁷
= 5¹⁰⁻⁷
= 5³
= 125