IM 6.6.12 Practice: Meaning of Exponents

Select [b]all[/b] the expressions that are equivalent to 64.
Select [b]all [/b]the expressions that equal [math]3^4[/math].
[size=150][math]4^5[/math] is equivalent to 1,024. Evaluate the expression.[/size][br][br][math]4^6[/math]
[math]4^4[/math]
[math]4^3\cdot4^2[/math]
[math]6^3=216[/math]. Using exponents, write three more expressions whose value is 216.
Find two different ways to rewrite [math]3xy+6yz[/math] using the distributive property.
Solve the equation.
[math]a-2.01=5.5[/math]
[math]b+2.01=5.5[/math]
[math]10c=13.71[/math]
[math]100d=13.71[/math]
Which expressions represent the total area of the large rectangle? Select [b]all [/b]that apply.[br][br][img]data:image/png;base64,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[/img]
[size=150]Is the statement true or false?[/size][br][br][math]\frac{45}{100}\cdot72=\frac{45}{72}\cdot100[/math]
Explain your reasoning.
[size=150]Is the statement true or false?[br][/size][br]16% of 250 is equal to 250% of 16.
Explain your reasoning.
Sluiten

Informatie: IM 6.6.12 Practice: Meaning of Exponents