Question

9⁻¹³ · 9¹⁹ ⁻⁻⁻⁻⁻⁻⁻⁻ = 9⁵

Answer 1

=117×171 207
--------- = -----
45 45

Answer 2

Let's simplify the expression step by step:

9⁻¹³ means the reciprocal of 9¹³, which is equal to 1/9¹³.

9¹⁹ means 9 raised to the power of 19.

To multiply two powers with the same base, you can add their exponents:

1/9¹³ · 9¹⁹ = 9^(19-13) = 9^6

So, the simplified expression is 9^6, not 9^5. Therefore, the statement "9⁻¹³ · 9¹⁹ = 9⁵" is not true. The correct expression should be "9⁻¹³ · 9¹⁹ = 9⁶."