What is -9 in parenthesis to the 5th power divided by -9 in parenthesis to the 7th power?

Mathematics

2 answers:

zaharov [31]2 years ago

7 0

Answer:

1/81

Step-by-step explanation:

ozzi2 years ago

6 0

Answer:

1/9 to the 2nd power or 1/81 (Depends on what the question wants)

Step-by-step explanation:

Since we are doing (-9^5) ÷ (-9^7). You're going to take those two -9s and keep it as just one -9 because they're the same and we'll need them together anyways. Now you're gonna subtract the original bases' exponents (5 - 7) which is going to get you -2. We did this because of the quotient rule which is an exponent rule that applies to expressions where you divide two numbers with the same base, but different powers / exponents. Now you're left with 9^-2. However, exponents cannot ever be negative so you must make this number's reciprocal by flipping the invisible one below the number and making it a numerator by placing it above the number. Doing so turns the exponent positive (so now it looks like 1 over 9^2 aka 1/9^2) which makes it now a valid answer. If the question wants you to evaluate then you multiply 9 by itself as many times as the exponent says to. In this case that'd get you 1/81. Hope this helped so you can do problems like this one with less trouble.

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. Which of the following is the correct algebraic representation of the translation below?

stepladder [879]

Answer:

D) (x+6, y+5)

Step-by-step explanation:

You can start with the top corner of triangle A

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Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.

And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.

Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values

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