I can help you with the laws of exponents. Let's go through each problem step by step.
1) 4/x^-3:
To simplify this expression, we need to apply the law of exponents which states that when we have a negative exponent, we can rewrite it as the reciprocal of the base raised to the opposite positive exponent.
In this case, we have x raised to the power -3. We can rewrite it as 1/x^3.
Now the expression becomes 4 * 1/x^3.
Multiplying 4 with 1 gives us 4.
So, the simplified expression is 4/x^3.
2) x^4/y^-3:
Similar to the previous problem, we need to apply the law of exponents.
In this case, we have y raised to the power -3. We can rewrite it as 1/y^3.
Now the expression becomes x^4/1/y^3.
To divide by a fraction, we can multiply by its reciprocal. So, dividing by 1/y^3 is the same as multiplying by y^3.
Now the expression becomes x^4 * y^3.
Multiplying x^4 with y^3 gives us x^4y^3.
So, the simplified expression is x^4y^3.
Remember, practicing more problems and applying the laws of exponents will help you understand their concepts better.