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countrygirl1431
 one year ago
Which of the following statements is not true?
xxxxxx = x6
AAAAAAABBBBB = A7B5
b6c6 = (bc)6
x5y5z5 = xyz5
countrygirl1431
 one year ago
Which of the following statements is not true? xxxxxx = x6 AAAAAAABBBBB = A7B5 b6c6 = (bc)6 x5y5z5 = xyz5

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1An integer exponent greater than 1 is the number of the same factors being multiplied together. For example, \(y^2 = y \times y = yy\) With that in mind, do you think that A and B are true or false?

countrygirl1431
 one year ago
Best ResponseYou've already chosen the best response.1it still doesnt make since

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you know what an exponent is?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1An exponent is a way of writing a multiplication of the same number. For example, if you want to write \(4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4\) you can use an exponent to write simply \(4^7\) \(4^7\) is much quicker to write than \(4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4\) and takes much less space. Since there are 7 factors of 4 being multiplied together, you write 4 as a base, and you write the exponent 7. The same way, \(x^3 = x \times x \times x\) \(x^3\) is simply a short way of writing the multiplication \(x \times x \times x\) Ok so far?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now look at choice A. \(xxxxxx = x^6\) When variables are next to each other with no operation in between, that means multiplication. On the let side you have 6 x's being multiplied together. Since the factors are all the same, x, we can use an exponent to write that in a shorter way. Since there are 6 x's, that means we write a base of x and an exponent of 6. That means \(xxxxxx = x^6\) is correct. This means choice A is true, so it is not the answer to this problem. Remember, we are looking for the choice that is a false statement.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now look at choice B. According to the meaning of exponents you saw above, is choice B true or false?

countrygirl1431
 one year ago
Best ResponseYou've already chosen the best response.1i think its choice D

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct B is true, so that's not it. Now we need to deal with C and D.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is a rule of exponents: \((ab)^n = a^nb^n\) When you raise a product to an exponent, you need to raise every factor to the exponent. Look at C. \(b^6c^6 = (bc)^6\) On the right side, you are raising a product to the 6th power. To raise the product bc to the 6th power, you need to raise each factor to the 6th power. That means \((bc)^6 = b^6c^6\) This is exactly what we have in choice C only in reverse order. Choice C is true.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You are correct. By the process of elimination, D must be the false statement, but we should see why.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Choice D. \(x^5y^5z^5 = xyz^5\) Look at the left side. Every factor x, y, and z, is raised to the 5th power. Using our rule above in reverse, that means \(x^5y^5z^5 = (xyz)^5\) The statement of choice D has only \(xyz^5\) on the right side. \(x^5y^5z^5 \ne xyz^5\) This means this statement is false and is the answer to the question.

countrygirl1431
 one year ago
Best ResponseYou've already chosen the best response.1ok thanks so much for explaining things to me
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