Evaluate the Following: 16 3 4 + 2 ( 1 2 ) − 1 × 3 0 - Mathematics

Evaluate the following:

`16^(3/4) + 2(1/2)^-1 xx 3^0`

बेरीज

`16^(3/4) + 2(1/2)^-1 xx 3^0`

= `2^(4 xx 3/4) + 2 xx 2 xx 1`
= 2³ + 4
= 2³ + 4
= 8 + 4
= 12.

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Solving Exponential Equations

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पाठ 9: Indices - Exercise 9.1

पाठ 9 Indices
Exercise 9.1 | Q 6.5

Find x, if : 4^2x = `1/32`

Solve : `[3^x]^2` : 3x = 9 : 1

If m ≠ n and (m + n)^-1 (m^-1 + n^-1) = m^xn^y, show that : x + y + 2 = 0

Prove that : `((x^a)/(x^b))^( a + b - c ) (( x^b)/(x^c))^( b + c - a )((x^c)/(x^a))^( c + a - b)`

Solve : 3^x-1× 5^2y-3 = 225.

Evaluate the following:

`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`

Solve for x:
2^2x^{- 1} − 9 x 2^{x − 2} + 1 = 0

Find the value of k in each of the following:

`root(4)root(3)(x^2)` = x^k

Find the value of (8p)^p if 9^{p + 2} - 9^p = 240.

If 2250 = 2^a. 3^b. 5^c, find a, b and c. Hence, calculate the value of 3^a x 2^-b x 5^-c.