Exponent rules and converting between standard form and scientific notation for middle school math.
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- What is an exponent?
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A number that tells how many times to multiply a base by itself- In the expression 2^5, what is the base?
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2- In the expression 2^5, what is the exponent?
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5- What does any nonzero number to the power of 1 equal?
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The number itself- What does any nonzero number to the power of 0 equal?
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1- State the product rule for exponents.
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When multiplying powers with the same base, add the exponents. x^a · x^b = x^(a+b)- Simplify x^3 · x^4
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x^7- Simplify 2^5 · 2^3
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2^8- State the quotient rule for exponents.
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When dividing powers with the same base, subtract the exponents. x^a / x^b = x^(a-b)- Simplify y^7 / y^2
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y^5- Simplify 5^9 / 5^4
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5^5- State the power rule for exponents.
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When raising a power to a power, multiply the exponents. (x^a)^b = x^(ab)- Simplify (m^3)^4
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m^12- State the product to a power rule.
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(ab)^n = a^n · b^n- State the quotient to a power rule.
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(a/b)^n = a^n / b^n
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