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In order to add or subtract numbers with exponents, the exponents must be the same.
In order to multiply numbers with exponents, you complete the multiplication and add the exponents.
In order to divide numbers with exponents, you complete the division, and subtract the bottom exponent from the top exponent.
Examples:
Addition: 4.6 x 107 + 2.5 x 109 = 0.046 x 109 + 2.5 x 109 = 2.546 x 109
Subtraction: 6.7 x 108 - 2.1 x 105 = 6.7 x 108 - 0.0021 x 108 = 6.66979 x 108
Multiplication: 5.3 x 102 x 8.4 x 106 = 44.52 x 102+6 = 44.52 x 108 = 4.452 x 109
Division: 6.2 x 1012/3.1 x 106 = 2.0 x 1012-6 = 2.0 x 106
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What are the seven rules for exponents?
Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
When you raise a power to a power what do you do with the exponents?
You multiply the exponents.
What is the relationship between the exponents of the base and the exponent of the product?
when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question
When subtracting variables with exponents do you add or subtract the exponenets?
You cannot ad or subtract variables with different exponents: the exponents must be the same. The coefficients are added or subtracted and the exponent of the answer is the common exponent. (The rules are similar to those for the denominators of fractions.)Thus 2x^2 + 5x^3 cannot be combined into a single term.while 2x^2 + 5x^2 = (2+5)*x^2 = 7x^2
What is the history of exponents In Algebra?
Exponents are the expodential growth in something.
