Question

9² ÷ 9¹⁸ = __________. Fill in the blanks.

Answer 1

$(9) { }^{2 - 18 } \\ = 9 {}^{ - 16}$
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Answer 2

Answer:

$\frac{1}{9^{16}}$

Step-by-step explanation:

As per the question,

We have to find the value of 9² ÷ 9¹⁸

Now,

9² ÷ 9¹⁸  can also be written as

$\frac{9^{2}}{9^{18}}$

As we know that according to exponent property that when two number are multiplied have different power but the base is same, the result is gain by simply adding the exponents. that is,

$x^{a} \cdot x^{b} =x^{a+b}$

Therefore,

$\frac{9^{2}}{9^{2} \times 9^{16}}$

$\frac{1}{9^{16}}$

Hence, the required answer is $\frac{1}{9^{16}}$