Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 8 Answered

Find the value of p so that (3/5) raised to the power 3 ÷ (3/5) raised to the power -3 = (3/5) raised to the power 3p

Asked by palaktapadiya08.8spicertl | 03 Jun, 2020, 02:23: PM
Expert Answer
It is given that: (3/5)3 ÷ (3/5)-3 = (3/5)3p and we need to find the value of p.
This question can be solved using laws of exponents as follows:
(3/5)3/(3/5)-3 = (3/5)3p
Using the law of exponent 1/am = a-m, we have
(3/5)3 x (3/5)-(-3) = (3/5)3p
(3/5)3 x (3/5)3 = (3/5)3p
Using the law of exponent am x an = am+n, we get
(3/5)3+3 = (3/5)3p
(3/5)6 = (3/5)3p
Using the property of exponent that if am = an then m = n, we have
6 = 3p
p = 6/3
p = 2
Answered by Renu Varma | 03 Jun, 2020, 04:33: PM

Concept Videos

ICSE 8 - Maths
Asked by souravpaul19 | 24 Jun, 2022, 10:17: AM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by mamtadobhal.5 | 13 Apr, 2022, 06:53: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by guterimeena1977 | 08 Mar, 2022, 12:51: AM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by ananya93696996 | 23 Aug, 2021, 08:26: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by kpsingh.ks467 | 24 May, 2021, 05:33: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by ashwellronaldr | 29 Mar, 2021, 08:30: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by nihalcrj2006 | 12 Mar, 2021, 11:02: AM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by kinggta29 | 25 Feb, 2021, 07:03: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by saroms | 28 Nov, 2020, 08:28: PM
ANSWERED BY EXPERT
ICSE 8 - Maths
Asked by skvikrant888 | 04 Oct, 2020, 10:54: AM
ANSWERED BY EXPERT
×