Question

(b^-4)^-3 : b^-17 = ?

Answer 1

=b^12:b^-17=b^29

....

Answer 2

(b^-4)^-3 : b^-17 = b^29

Answer 3

To simplify the expression, we can use the following rule of exponents:

(a^m)^n = a^(m*n)

Using this rule, we can simplify (b^-4)^-3 as follows:

(b^-4)^-3 = b^(-4*-3) = b^12

Similarly, we can simplify b^-17 as:

b^-17 = 1/b^17

Now we can substitute these simplified expressions into the original expression:

(b^-4)^-3 : b^-17 = (b^12) : (1/b^17)

To divide by a fraction, we can multiply by its reciprocal:

(b^12) : (1/b^17) = b^12 * b^17

Using the rule of exponents that states a^m * a^n = a^(m+n), we can simplify this expression as:

b^12 * b^17 = b^(12+17) = b^29

Therefore, (b^-4)^-3 : b^-17 simplifies to b^29.