Question

(3a^-2b)^-(3a^-b)^ с решением пж

Answer 1

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Готово!!!Удачи))))

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Answer 2

(3a²-2b)² – (3a²-b)²  =  9a^4-12a²b+4b²  -(9a^4-6a²b+b²)=

=9a^4-12a²b+4b² -9a^4+6a²-b²  =   3b²-6a²b

Answer 3

To simplify the expression (3a^-2b)^-(3a^-b), we can follow these steps:

Step 1: Distribute the exponent outside the parentheses. Step 2: Simplify the negative exponents.

Let's begin:

Step 1: Distribute the exponent outside the parentheses. When we have an expression of the form (ab)^n, it means we need to raise both 'a' and 'b' to the power 'n'. So,

(3a^-2b)^-(3a^-b) = 3^(-(3a^-2b)) * (a^-2b)^(-(3a^-b))

Step 2: Simplify the negative exponents.

To simplify a^-m, we can rewrite it as 1/a^m.

So, the expression becomes:

3^(-(3a^-2b)) * (1/a^(-2b))^(-(3a^-b))

Now, let's deal with the negative exponents again. When we have a fraction with a negative exponent in the denominator, it can be moved to the numerator and the exponent becomes positive. So,

3^(-(3a^-2b)) * (a^(2b))^(-(3a^-b))

Now, we can use the property (a^m)^n = a^(m*n):

3^(-(3a^-2b)) * a^(-2b * -(3a^-b))

The negative sign in the exponent of 'a' and 'b' will cancel out:

3^(-(3a^-2b)) * a^(6a^-2b)

Now, let's simplify further. When we have an expression of the form a^(-n), it means we need to take the reciprocal of 'a' and raise it to the power 'n'. So,

3^(-(3a^-2b)) * (1/a^(6a^2b))

Finally, we can combine the terms, keeping in mind that 3^(-x) is the same as 1/3^x:

(1/3^(3a^-2b)) * (1/a^(6a^2b))

To express this in a more compact form, you can multiply the terms:

1 / (3^(3a^-2b) * a^(6a^2b))

This is the simplified expression for (3a^-2b)^-(3a^-b).