Basic Math Examples

$\sqrt{121} + 27^{9 (48 - y)} = 0$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $121$ as $11^{2}$ .

$\sqrt{11^{2}} + 27^{9 (48 - y)} = 0$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$11 + 27^{9 (48 - y)} = 0$

Step 1.3

Apply the distributive property.

$11 + 27^{9 \cdot 48 + 9 (- y)} = 0$

Step 1.4

Multiply $9$ by $48$ .

$11 + 27^{432 + 9 (- y)} = 0$

Step 1.5

Multiply $- 1$ by $9$ .

$11 + 27^{432 - 9 y} = 0$

Step 2

Subtract $11$ from both sides of the equation.

$27^{432 - 9 y} = - 11$

Step 3

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (27^{432 - 9 y}) = \ln (- 11)$

Step 4

The equation cannot be solved because $\ln (- 11)$ is undefined.

Undefined

Step 5

There is no solution for $27^{432 - 9 y} = - 11$

No solution