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Common Core Standard HSA-SSE.B.3 Questions

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

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Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression $21/(6^(2-2x))$ in the form $A*B^x$
1. $7/2*1/36^x$
2. $7/2*36^x$
3. $7/12*1/36^x$
4. $7/12*36^x$
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression $8*(1/2)^(2x+3)$ in the form $A*B^x$
1. $(1/4)^x$
2. $2*(1/8)^x$
3. $2*(1/4)^x$
4. $8*(1/8)^x$
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression $6*2^(x-1)*4^(3-x)$ in the form $A*B^x$
1. $768*(1/2)^x$
2. $192*(1/2)^x$
3. $192*(1/4)^x$
4. $768*2^x$
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Rewrite the expression $2*4^(x+3)*2^(2-x)$ in the form $A*B^x$
1. $256*2^x$
2. $64*(1/2)^x$
3. $512*2^x$
4. $2*512^x$
Grade 12 Exponents CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Which expression is equivalent to $8^(2x^2-3x+1)$ ?
1. $(8^(2x-1))^(x-1)$
2. $16^(x^2-3x+1)$
3. $64^(x^2-3x+1)$
4. $16^(x^2-1x+1)$