Question

write the laws of exponents
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Answer 1

Answer:

When multiplying like bases, keep the base the same and add the exponents. When raising a base with a power to another power, keep the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Step-by-step explanation:

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Answer 2

Answer:

Law Example

x1 = x 61 = 6

x0 = 1 70 = 1

x-1 = 1/x 4-1 = 1/4

xmxn = xm+n x2x3 = x2+3 = x5

xm/xn = xm-n x6/x2 = x6-2 = x4

(xm)n = xmn (x2)3 = x2×3 = x6

(xy)n = xnyn (xy)3 = x3y3

(x/y)n = xn/yn (x/y)2 = x2 / y2

x-n = 1/xn x-3 = 1/x3

And the law about Fractional Exponents:

x^(m/n) = n-th root of (x^m) = (n-th root of x)^m x^(2/3) = 3rd root of (x^2) = (3rd root of x)^2

Step-by-step explanation:

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