Question

Simplify 8^2/3 -√9×10^0+(1/144)^-1/2

Answer 1

13

Explanation:

We have the following expression:

`8^{(2)/(3) } -√(9)*10^(0) + ((1)/(144)) ^{-(1)/(2) }`

If we do part by part, we have remains:

`8^{(2)/(3) }` = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

`√(9)*10^(0)` = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

`((1)/(144)) ^{-(1)/(2) }` = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13