Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
3.3k views
in Exponents by (46.1k points)
closed by

\((\frac{1}{64})^0 + (64)^{\frac{-1}{2}}+(32)^{\frac{4}{5}}-(32)^{\frac{-4}{5}}\) is equal to 

(a) \(16\frac18\)

(b) \(17\frac18\)

(c) \(17\frac1{16}\)

(d) \(-17\frac1{16}\)

1 Answer

+1 vote
by (49.2k points)
selected by
 
Best answer

(c) \(17\frac1{16}\)

Given exp. = 1 + \((8^2)^{-\frac12}+(2^5)^{\frac45}-(2^5)^{-\frac45}\)

= 1 + 8–1 + 24 – 2–4

\(1+ \frac18+16-\frac1{16}=\frac{16+2+256-1}{16}\)

\(\frac{273}{16} = 17\frac1{16}\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...