the law of exponents example
Answers
Answer:
Multiplying Powers with same Base. For example: x² × x³, 2³ × 2⁵, (-3)² × (-3)⁴ ...
Dividing Powers with the same Base. For example: ...
Power of a Power. ...
Multiplying Powers with the same Exponents. ...
Negative Exponents. ...
Power with Exponent Zero. ...
Fractional Exponent.
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It will help you
The exponent of a number says how many times to use the number in a multiplication.
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Laws of Exponents.
Law Example
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 = x6xm/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:
xm/n = n√xm
= (n√x )m x2/3 = 3√x2
= (3√x )2