Question

Find the value of:

i) ( 2x³ )0

a) 0
b) 1
c) 2x³
d) x⁶

ii) ( 5 -⁶ )½

a) 5 -³
b) 5 – ³/²
c) 5 -½
d) 5³

Answer 1

The value of (2x³)^0 is 1, and the value of (√(5^(-6))) is 5^(-3).

Step-by-step explanation:

To find the value of (2x³)0, we need to understand the concept of raising a number to the power of zero. Any number raised to the power of zero equals 1. Therefore, (2x³)0 = 1.

Similarly, to find the value of (√(5^(-6))), we need to evaluate the square root of 5 raised to the power of -6. When a number is raised to a negative power, it becomes the reciprocal of that number raised to the positive power. So, (√(5^(-6))) = 1/(√(56)) = 1/53 = 1/125 = 5^(-3).