Question

tell whether each equation is true or false. equation: $(5^{6})^{4}=5^{10}$; true or false? options: true, false

Explanation:

Step1: Apply exponent power rule

When raising a power to a power, multiply exponents: $(a^m)^n = a^{m \times n}$. For $(5^6)^4$, calculate $6 \times 4 = 24$, so $(5^6)^4 = 5^{24}$.

Step2: Compare the two expressions

Compare $5^{24}$ and $5^{10}$. Since $24
eq 10$, $5^{24}
eq 5^{10}$.

Answer:

False