Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202523 Jan 2025Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of ( 70^ ) ( 10^ 70^ -1 ) is

Options

  1. A2 / 3
  2. B1
  3. C0
  4. D3 / 2

Correct answer

B. 1

Step-by-step solution

aligned & ( 70^ ) ( 10^ 70^ -1 ) & = 70^ 10^ 70^ - 70^ & = 10^ 70^ - 70^ & = 10^ 70^ - 70^ 10^ 10^ & = (10^ +70^ ) 10^ & = 80^ 10^ =1 aligned

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

Let = (1 - 2 ( 11 ) ) (1 - 2 ( 3 11 ) ) (1 - 2 ( 9 11 ) ) (1 - 2 ( 27 11 ) ) (1 - 2 ( 81 11 ) ) . Then the value of 5 - ^2 is _____________. 2026If A = 3^ 9^ + 9^ 27^ + 27^ 81^ and B = 81^ - 3^ , then B A is equal to _____. 2026Let P = [0, 4 ] : ^2 1 and S = a Z : 2( ^8 - ^8 ) 2 = a^2, P . Then n(S) is: 2026If ( 18 ) ( 5 18 ) ( 7 18 ) = K , then the value of ( 10K 3 ) is : 2026If ( A - B ) A + ² C ² ~A =1, ~A , ~B , C (0, 2 ) , then 2026If x= 5 12 for some x ( , 3 2 ) , then 7 x ( 13 x 2 + 13 x 2 )+ 7 x ( 13 x 2 - 13 x 2 ) is equal to 2026The value of 3 cosec 20^ - 20^ 20^ 40^ 60^ 80^ is equal to 2026The least value of ( ² -6 +3 ² +2 ) is 2026 Full Trigonometric Ratios & Identities list All JEE Main PYQs