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`

Sum

`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.

shaalaa.com

Solving Exponential Equations

Is there an error in this question or solution?

Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 6.5

If 4^{x + 3} = 112 + 8 × 4^x, find the value of (18x)^3x.

If a^x = b, b^y = c and c^z = a, prove that : xyz = 1.

If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.

If 3^{x + 1} = 9^{x - 3}, find the value of 2^{1 + x}.

Evaluate the following:

`(8/27)^((-2)/3) - (1/3)^-2 - 7^0`

Find the value of k in each of the following:

`(sqrt(9))^-7 xx (sqrt(3))^-5` = 3^k

If `root(x)("a") = root(y)("b") = root(z)("c")` and abc = 1, prove that x + y + z = 0

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

If 2^x = 3^y = 12^z ; show that `(1)/z = (1)/y + (2)/x`.

Prove the following:

`(x^("a"+"b")/x^"c")^("a"-"b") · (x^("c"+"a")/(x^"b"))^("c"-"a") · ((x^("b"+"c"))/(x"a"))^("b"-"c")` = 1