Transposing square roots help

What is the math law for the following scenario? I'd like to know how the power becomes 0.5 in the below transposition?

√MLT^(-2)/ML = (MLT^(-2)/ML)^0.5

Any help will be much appreciated.

Thanks

Reply 1

davros

Original post by ashleyw96

What is the math law for the following scenario? I'd like to know how the power becomes 0.5 in the below transposition?
√MLT^(-2)/ML = (MLT^(-2)/ML)^0.5
Any help will be much appreciated.
Thanks

√x = x^(0.5) is the basic "law" that you're missing - to convince yourself of this, note that (x^0.5) X (x^0.5) = x^(0.5 + 0.5) = x^1 = x, which shows that x^0.5 is an alternative notation for the square root of x.

Similarly, raising a number to the power 1/n is the same as taking the nth root of the number.

(I'm assuming that your square root symbol √ covers the entire expression on the left hand side of your original equation)

Reply 2

Nitrotoluene

Original post by ashleyw96

What is the math law for the following scenario? I'd like to know how the power becomes 0.5 in the below transposition?
√MLT^(-2)/ML = (MLT^(-2)/ML)^0.5
Any help will be much appreciated.
Thanks

The mathematical law you're referring to is the property of exponents, specifically the rule for raising a power to a power. It's often referred to as:

(a^b)^c = a^(bc)

You have:

(MLT^(-2)/ML)^0.5

To simplify this expression, you can apply the rule above.