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telo118 [61]
3 years ago
8

PLEASE HELP!! Question is in the picture

Mathematics
1 answer:
andrezito [222]3 years ago
6 0

When you multiply a number with an exponent by a number with an exponent, you add the exponents together.

For example:

x^{2} *x^{3} =x^{2+3}=x^5

y^{1} (y^3)=y^{1+3}=y^4

2^2*2^3=2^{2+3}=2^5


When an exponent is negative, you move it to the other side of the fraction to make the exponent positive

For example:

x^{-2}  or  \frac{x^{-2}}{1}=\frac{1}{x^2}

\frac{1}{y^{-3}}=\frac{y^3}{1}  or  y³



So:

4^3*4^{-5}=4^{3+(-5)}=4^{-2}

4^{-2}=\frac{1}{4^2}=\frac{1}{16}=0.0625


a.) correct

b.) correct

c.) incorrect

d.) correct

e.) correct

f.) incorrect

g.) incorrect

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