Please solve these questions with explanation and workings, chapter name-- Exponents.
Multiple Choice Questions.
~~Choose the correct answer from the given four options (3 to 10)~~
Q3. a x a x a x b x b x b is equal to____
a.) a^3b^2. b.)a^2b^3. c.) (ab)^3. d.) a^6b^2
Q4. (-5)^2 x (-1)^1001 is equal to____
a.)25 b.)-25. c.) 10. d.)-10
Q5. In (3/4)^5, the base is____
a.) 3. b.) 4. c.) 5. d.)3/4.
Q6. (5^2)^3 is equal to____
a.) 5^6. b.)5^3. c.) 5^0. d.)10^3
Q7. (-2)^3 x (-3)^2 is equal to____
a.)6^5. b.)(-6)^6. c.) 72. d.) -72
Q8. The expression (pqr)^3 is equal to____
a.)p^1qr. b.) pq^3r c.)pqr^3 d.)p^3q^3r^3
Q9. (-3/2)^-1 is equal to____
a.)2/3. b.) -2/3. c.) 3/2. d.)4/9
Q10.(-5/8)^0 is equal to____
a.)0. b.)1. c.)-5/8. d.)-8/5
Please solve these questions.. it took me 1hr to write this.. would help a lot if u send these done.. with explanation and neatness..
Answers
Answer:
3. a*a*a * b*b*b = a^3 * b^3 = (ab)^3 [law of exponent ⇒ a^m * b^m = (ab)^m]
Hence, option (c) is correct.
4. (-5)^2 * (-1)^1001 = (-5)^2 * 1 = 25 * 1 = 25
Hence, option (a) is correct.
5. Option (b) 4
6. (5^2)^3 = 5^2*3 = 5^6 [law of exponent ⇒ (a^m)^n = a^mn]
Hence. option (a) is correct.
8. (pqr)^3 = p^3 * q^3 * r^3 [law of exponent ⇒(ab)^m = a^m * b^m
Hence, option (d) is correct.
9. (-3/2)^-1 = (-2/3) [law of exponent ⇒ a^-1 = 1/a]
Hence, option (b) is correct.
The negative sign is always on the numerator, that' why I have put the negative sign on 2 and not 3.
10. -5/8^0 = 1 [law of exponent ⇒ a^0 = 1}
Hence, option (b) is correct.
Hope it helps.
Please mark this answer as brainliest.
Answer:
Q3. a^3 x b^3
(ab)^3
Q4. 1/-5*-5 x 1/-1
1/-25 x - 1
-1/25
-0.04
Q5. Base is 3/4
Q6. 5^(2x3)
5^6
Q7. - 8 x 9
-72
Q8. p^3q^3r^3
Q9. - (2/3)^1
-2/3
Q10. Anything to the pwr of 0 is 1.
As - 5/8 is - ve so (- 5/8)^0 = - 1
MARK ME THE BRAINLIEST