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# Laws of exponents

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• Slide: 1
• ﻿﻿﻿Yes! It can help both of us prepare for the test!
• Hey can you help me review the rules of exponents?﻿
• Slide: 2
• ﻿1) Let's start with base. The base is the number or term or expression that is being multiplied.
• ﻿Like "4 or x or y"
• Yes!
• Slide: 3
• ﻿1) So when two exponents with the same base are being divided like "b^10/﻿b^ 7" the opposite is done. So it would be subtraction! b^10-^7 = b^3.
• Exactly! It is known as the quotient rule!﻿
• Slide: 4
• ﻿F: For example in 3^2, the base is 3 and the exponent is 2 W: Or in (x+1)^4, the base is x+1 and the exponent is 4
• ﻿1) Remember the exponent is the number at the top of the base . It is the power to which it is being raised.
• Slide: 5
• ﻿1) Now, when the base is the same and they are being multiplied, let's say " a^6 * a^3", then the exponents are added. So the answer would be a^6+^3 = a^9.
• Ahh! Yes! The Product Rule.
• Slide: 6
• Well, if we have (x^3)^5, the power is being raised to a power so we multiply the exponents together﻿﻿. So it would be x ^3 * ^5 = x^15. I like to look at if they are separated by a parentheses.
• 1) ﻿﻿Please remind me what power to power rule is
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