Simplify this expression:
-(3x)2
Simplify this expression:
(3t2/5)2
Complete the equation:
(4m)? = 256m4
Complete this equation:
(b?/5)2 = b10/25
Explain why (-xy)2 = (xy)2.
Simplify this expression:
(-xy/2xy4)5
Simplify this expression:
(x3/2y4)5
-(3x)2
Simplify this expression:
(3t2/5)2
Complete the equation:
(4m)? = 256m4
Complete this equation:
(b?/5)2 = b10/25
Explain why (-xy)2 = (xy)2.
Simplify this expression:
(-xy/2xy4)5
Simplify this expression:
(x3/2y4)5
-
Simplify this expression:
-(3x)^2 = – (3² × x²) = – 9x²
if it is
(– 3x)^2 = (–3)² × x² = 9x²
Simplify this expression:
(3t^2/5)^2
= 9t^4/25
Complete the equation:
(4m)? = 256m4
256m^4 = (4 × 4 × 4 × 4)(m × m × m × m)
= 4^4 × m^4
= (4m)^4
? = ^4
Complete this equation:
(b?/5)2 = b10/25
b^10/25 = (b^5)^2/5^2
b^? = b^5
? = 5
Explain why (-xy)2 = (xy)2.
(–xy)^2 =(–1xy)^2
= (–1)^2(xy)^2
= 1(xy)^2
= (xy)^2
Simplify this expression:
(-xy/2xy4)5
Rule (–1)^even number = +1 or = 1
and (–1)^odd number = –1
(-xy/2xy^4)^5
= –x^5y^5/2^5x^5y^20
= –1/32y^15
Simplify this expression:
(x^3/2y^4)^5
= (x^15/2^5y^20)
= (x^15/32y^20)
-----
-(3x)^2 = – (3² × x²) = – 9x²
if it is
(– 3x)^2 = (–3)² × x² = 9x²
Simplify this expression:
(3t^2/5)^2
= 9t^4/25
Complete the equation:
(4m)? = 256m4
256m^4 = (4 × 4 × 4 × 4)(m × m × m × m)
= 4^4 × m^4
= (4m)^4
? = ^4
Complete this equation:
(b?/5)2 = b10/25
b^10/25 = (b^5)^2/5^2
b^? = b^5
? = 5
Explain why (-xy)2 = (xy)2.
(–xy)^2 =(–1xy)^2
= (–1)^2(xy)^2
= 1(xy)^2
= (xy)^2
Simplify this expression:
(-xy/2xy4)5
Rule (–1)^even number = +1 or = 1
and (–1)^odd number = –1
(-xy/2xy^4)^5
= –x^5y^5/2^5x^5y^20
= –1/32y^15
Simplify this expression:
(x^3/2y^4)^5
= (x^15/2^5y^20)
= (x^15/32y^20)
-----
-
1. - (3 x)^2 = - (3^2 * x^2) = - 9 * x^2
2. (3t^2/5)^2 = 3^2 * t^(2/5 * 2) = 9 * t^4/5
3. (4 m) ^ ? = 256 m^4
? = 4
check : 4^4 = 256, m^4 = m^4
4. (b^? / 5)^2 = b^10 / 25
? = 5
check : (b^5 / 5)^2 = (b^(5 * 2) / 5^2) = b^10 / 25
5. (-xy)^2 = (xy)^2
because, (-xy)(-xy) = xxyy = (xy)^2
the negatives cancel each other out
6. (-xy / 2xy^4)^5 = (-1 / 2y^3)^5 = -1 / [2^ 5 * y^(3*5)] = -1 / 32y^15
7. (x^3 / 2y^4)^5 = x^(3*5) / [2^5 * y^(4*5)] = x^15 / 32y^20
2. (3t^2/5)^2 = 3^2 * t^(2/5 * 2) = 9 * t^4/5
3. (4 m) ^ ? = 256 m^4
? = 4
check : 4^4 = 256, m^4 = m^4
4. (b^? / 5)^2 = b^10 / 25
? = 5
check : (b^5 / 5)^2 = (b^(5 * 2) / 5^2) = b^10 / 25
5. (-xy)^2 = (xy)^2
because, (-xy)(-xy) = xxyy = (xy)^2
the negatives cancel each other out
6. (-xy / 2xy^4)^5 = (-1 / 2y^3)^5 = -1 / [2^ 5 * y^(3*5)] = -1 / 32y^15
7. (x^3 / 2y^4)^5 = x^(3*5) / [2^5 * y^(4*5)] = x^15 / 32y^20