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

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.

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Solving Exponential Equations

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Chapter 6: Indices - Exercise 9.1

Chapter 6 Indices
Exercise 9.1 | Q 6.5

Solve for x : (49)^{x + 4} = 7²x (343)^{x + 1}

Find x, if : `sqrt( 2^( x + 3 )) = 16`

Solve : 4^{x - 2} - 2^{x + 1} = 0

If 5^{x + 1} = 25^{x - 2}, find the value of 3^{x - 3} × 2^{3 - x}.

If a^x = b^y = c^z and b² = ac, prove that: y = `[2xz]/[x + z]`

Evaluate the following:

`(4^3 xx 3^7 xx 5^6)/(5^8 xx 2^7 xx 3^3)`

Evaluate the following:

`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`

Solve for x:
2^{x + 3} + 2^{x + 1} = 320

Solve for x:
1 = p^x

Find the value of k in each of the following:

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