What does it mean for a product of factors to be expressed using exponents

2 answers:

4 0

Exponent is the expression in where you convert product factor expression into a shorter expression. So really you use it to make the question simpler and shorter(easier to understand).

marta [7]2 years ago

3 0

Answer:

Step-by-step explanation:

Using exponents is an abbreviated form of repeated multiplication. That is, exponents are used to write a multiplication composed of several equal numbers in a more simplified way.

This is called power, and it is formed by the base, which is the number that is multiplying several times, and by the exponent, which is the number of times the base is multiplied.

For example: 5x5x5x5x5x5x5. You can see that the number 5 is multiplied many times, that makes it longer. This would be the basis. The number 5 is multiplied 7 times (7 being then the exponent), therefore you can express this multiplication as:

$5^{7}$

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Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$