Confusion when comparing numbers with powers

Question

I am confused about this:

Compare $$7^{26} - 7^{25} = 7^{25}(6)$$

This is what I have calculated:

\begin{align}&(1.0 \times 7^{26}) - (1.0 \times 7^{25}) \\&=(10\times 7^{25}) - (1.0 \times 7^{25}) \\&=7^{25}(10-1) \\&=7^{25}(9) \end{align}

and this does not equal $7^{25}(6)$

Am I correct, or have I missed something?

Answer 1

notice that $$7^{26} = 7 \times 7^{25}$$

$$7^{26} \neq 10 \times 7^{25}$$

Hence $$7^{26} - 7^{25} = 7 \times 7^{25} - 7^{25} = (7-1) \times 7^{25}$$