Evaluate the following expression. 2*10^(4)-7^(3)=

Evaluate first term: Evaluate the first term of the expression 2*10^(4). Identify the base and the exponent for the term 10^(4). Base: 10 Exponent: 4 Calculate the value of 10 raised to the power of 4. 10^(4) = 10 * 10 * 10 * 10 = 10000 Now multiply this result by 2. 2 * 10000 = 20000Identify base and exponent: Evaluate the second term of the expression 7^(3). Identify the base and the exponent for the term 7^(3). Base: 7 Exponent: 3 Calculate the value of 7 raised to the power of 3. 7^(3) = 7 * 7 * 7 = 343Calculate value of 10^4: Subtract the second term from the first term. Now that we have the values for both terms, we can perform the subtraction. 20000 (from Step 1) - 343 (from Step 2) = 19657

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Evaluate the following expression.

2*10^(4)-7^(3)=

Evaluate the following expression. $\newline$ $2 \cdot 10^{4}-7^{3}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate the following expression.

\newline

2 \cdot 10^{4}-7^{3}=

Evaluate first term: Evaluate the first term of the expression $2\times10^{4}$ . Identify the base and the exponent for the term $10^{4}$ . Base: $10$ Exponent: $4$ Calculate the value of $10$ raised to the power of $4$ . $10^{4} = 10 \times 10 \times 10 \times 10 = 10000$ Now multiply this result by $2$ . $2 \times 10000 = 20000$
Identify base and exponent: Evaluate the second term of the expression $7^{3}$ . Identify the base and the exponent for the term $7^{3}$ . Base: $7$ Exponent: $3$ Calculate the value of $7$ raised to the power of $3$ . $7^{3} = 7 \times 7 \times 7 = 343$
Calculate value of $10^4$ : Subtract the second term from the first term. $\newline$ Now that we have the values for both terms, we can perform the subtraction. $\newline$ $20000$ (from Step $1$ ) - $343$ (from Step $2$ ) = $19657$