12.

Simplify the expression

7−4⋅7349√


(2 points)
The simplified expression is
(do not include negative exponents) (Answer should be a simplified fraction)

1 answer

To simplify the expression \( 7 - 4 \cdot 7 \sqrt{49} \), we first simplify \( \sqrt{49} \):

\[ \sqrt{49} = 7 \]

Now, substitute \( \sqrt{49} \) into the expression:

\[ 7 - 4 \cdot 7 \cdot 7 \]

Next, calculate \( 4 \cdot 7 \cdot 7 \):

\[ 4 \cdot 7 \cdot 7 = 4 \cdot 49 = 196 \]

Now substitute this back into the expression:

\[ 7 - 196 \]

This simplifies to:

\[ 7 - 196 = -189 \]

Since the problem requests a simplified fraction and represents negative exponents to be avoided, we can express \(-189\) as:

\[ -\frac{189}{1} \]

Thus, the simplified answer is:

\[ -\frac{189}{1} \]

If the requirement is only to express it as a positive fraction, note that we commonly represent negative values with a negative sign in front, and fractions do not typically represent negative values as the numerator, so the final answer remains:

\[ -189 \] or equivalently, as a fraction: \(-\frac{189}{1}\).