Quiz On Indices

The expression (ab)0 is equal to 1. In any mathematical operation, any number raised to the power of 0 is always equal to 1. Therefore, the statement is true.

4x4x4

power of zero

In the exponential expression 4^3, the number 4 is referred to as the base. The base represents the number that is repeatedly multiplied by itself a certain number of times, indicated by the exponent. In this case, the base 4 is multiplied by itself three times because the exponent is 3. So, 4^3 means 4×4×4, where 4 is multiplied by itself three times.

The given statement (a2b)3 = a5b3 is not true. In order to simplify the expression (a2b)3, we need to multiply the exponents inside the parentheses by the exponent outside the parentheses. This gives us a6b3. Therefore, the correct answer is False.

To solve (2^3)^2, we need to apply the power of a power rule, which states that (x^m)^n = x^(m*n)

Therefore, (2^3)^2 = 2^(3*2) = 2^6 = 64

The value of (3^-2) can be found by taking the reciprocal of 3², which is (1/3²). 



(3²) equals (3 x 3 = 9).



So, 3^-2 = 1/3² = 1/9

Therefore, 3^-2 equals 1/9