Recognize Properties: Recognize the properties of exponents, specifically the zero exponent rule. The zero exponent rule states that any non-zero base raised to the power of zero is equal to 1. This rule applies regardless of what the base is. Calculation: (anything)^0 = 1Apply Zero Exponent Rule: Apply the zero exponent rule to the given expression (4^-3*2^-3)^0. Since the entire expression is raised to the power of zero, the value of the base, which is 4^-3*2^-3 in this case, does not matter as long as it's not zero. Calculation: (4^-3*2^-3)^0 = 1

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$(4^{-3}*2^{-3})^{0}$

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Math Problems

Grade 8

Multiply powers: integer bases

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(4^{-3}*2^{-3})^{0}

Recognize Properties: Recognize the properties of exponents, specifically the zero exponent rule. The zero exponent rule states that any non-zero base raised to the power of zero is equal to $1$ . This rule applies regardless of what the base is. $\newline$ Calculation: $(\text{anything})^0 = 1$
Apply Zero Exponent Rule: Apply the zero exponent rule to the given expression $(4^{-3}\ast2^{-3})^0$ . Since the entire expression is raised to the power of zero, the value of the base, which is $4^{-3}\ast2^{-3}$ in this case, does not matter as long as it's not zero. $\newline$ Calculation: $(4^{-3}\ast2^{-3})^0 = 1$