g. \( \left(-\frac{3}{4}\right)^{3}= \) \( h \cdot\left(-\frac{2}{5}\right)^{2}= \) \( \frac{4}{25} \)
Solución de inteligencia artificial de Upstudy
Responder
Solución
Respondido por UpStudy AI y revisado por un tutor profesional


Mind Expander
Let’s tackle each of these one at a time! First up, calculating \( \left(-\frac{3}{4}\right)^{3} \): This means multiplying \(-\frac{3}{4}\) by itself three times. So, \(-\frac{3}{4} \times -\frac{3}{4} \times -\frac{3}{4} = -\frac{27}{64}\). The negative sign from the base ensures that the answer remains negative since we're raising it to an odd power. Now for the second equation: To solve for \( h \) given \( h \cdot\left(-\frac{2}{5}\right)^{2}= \frac{4}{25} \), we first compute \(\left(-\frac{2}{5}\right)^{2}\), which equals \(\frac{4}{25}\). Then, substitute that back into the equation: \( h \cdot \frac{4}{25} = \frac{4}{25} \). From here, to find \( h \), simply divide both sides by \(\frac{4}{25}\), which gives \( h = 1\). And there you have it!
